This city is the capital of the state of Georgia since 1868 and was burned during the Civil War.

Atlanta

The correct answer is - Atlanta.

Georgia is a state that has had multiple capitals since the arrival of the first European settlers, changing them very often in accordance to the circumstances. The last one in the row has been Atlanta. This city got the privilege to be the capital of Georgia in 1868 after the Atlanta council applied for it. The US government took everything in perspective, from infrastructure, population, location, and very importantly politics. The political aspect seems to be the case where Atlanta won the case to become capital, as the capital until than, Milledgeville, was still a city where the black population was not welcomed and the racism was still on a very high level.