well it depends on civ, VC, map, difficulty level etc.
EDIT: have a look
here. this is a strong opening strat for babylon
a few things i noticed. your second city is in an insane growth spot ,5wheat on floodplains, very nice for tall science game, it also grabbed a luxery you dindt have so its a good spot. it will eventually get enough hills for production. 3rd city is okish but will lack production. 4th city seems poor. when going tall (usually 4 citys) make sure they grab at least one unique lux. were there noo good spots north/northeast?) must be better spotws than the plain desert spot for 4th city)
you planted your academy on a lux. im pretty sure that doesnt improve the lux (so you cant sell it) try to plant it on ahex that has at least 2 food(floodplain/grassland/cow) i think i would plant it on the marsh( you need BW for that though) actually thats a bad idea

, because you will beeline writing with babylon and plant the academy asap, so the riverplains near dye would be my choice
sidenote: the 2nd city is where i would plant it too, but notice that the petra is awesome here

that means: settle there asap!ASAP! because you need it to grow quickly. id build stables /and stoneworks there, buy hill tiles and build mines so that once you finished NC you can beeline currency to get the OP petra
this is from my current mayan, immortal, epic, large, no ruins, rest standard game just for refrence of the extreme opposite approach
with the mayan shrine replacement the pyramids(2faith,2science) you want to expand to a) ensure you get your religion up asap b) counter your lower science midgame with lots of pyramids (and Messenger of the gods)
techorder: pottery, minining,masonery, calender >construction,>theology>guilds>education
this is epic so its turn 110 on standard. im 9 turns away from education
idot silly romans attacked marrakesch and failed attacked valetta and took it. i denounced them when they did, because nobody likes when people attack CS.
somebody founded their religion really fast, a few turns after i got my pantheon.
i was only able to rushbuy one settler and it went to uluru as fast as it could, chitzen itza was settled on the only frigging gold on this continent(lucky, as it was also on my ICS grid)
uxmal was 4th city, i parked my warrior on the 1tile landbridge to stop babylonian settling. it was the only "strategically" placed city ( well almost the 2 on the west coast could have actually with minor shifting have allowed another city but i wanted my coastel citys to be better than usual ics citys because its continents)
back to the idiot rome: when they took valetta i knew a dow was coming, the ai loves to roll... sold sugar and upped my atlatlist to CB, crushed his warrior,archer, ballista spam, liberated valleta, took his gold/gpt/strategics treaty. i never take luxes, they inflate your happyness, not good. i denounced them, because hey, attila and georgy boy also denounced him and dowed him soon after ( attila ofcourse razed the city south of rome.
also i prebuild roads on non cultureborder tiles.
i got my first GP from UA at t150 and took a prophet to convert sidon, babylon, dur-k and another CS down there.
when expanding like this religion is a must, lucky i still got CB, but pagodas where gone so i took +1happy from shrines, and later went for mosques and got RT.
actually had to take meritocracy frist ( lucky i prebuild roads) because of happyness issues and somehow, i dont know how, i got a natrual GA while ICSing.... it extended beautifully into Representation, finishing of liberty for GE. i got guilds a few turns earlier and rushed machu pichu.
soon my gpt will drop (its +34 from rome peacetreaty) not sure where to take it from here
palenque actually stopped producing settlers atm to build market, libary and one settler is one turn away from settling the last ICS grid spot in northwest (southwest of furs) there is another spot on the sheep in the desert which ill grab and two more north between the CS. that would be 16 citys then. im thinking of crushing attila and burning him, hes been annoying me about what shame it is to bully weaker civs ( i stole one worker!!) while hes been at war with babylon for ages. freaking idiot.
dont try this without cerimonial burial, its rtotally OP. right now CB,+1fromshrines+meritocracy are taking care of the -3 penalty per city. ( oops actually the shrine bonus requires 3 followers per city, so it isnt active in the "low-pop"

citys yet