Arkansas has a cost of living index of 90 relative to the US average of 100. This is close to the national average. Arkansas offers a typical cost structure — housing and expenses track closely to US median.
The 4% safe withdrawal rule suggests a FIRE number of 25x annual expenses. At Arkansas's median income of $62,106, that is $1,552,650. However, if you plan to spend more (or less) than median income in retirement, scale the number accordingly.
Arkansas taxes income at 2%–3.9%. In FIRE, your primary income comes from portfolio withdrawals, dividends, and capital gains. Long-term capital gains in AR are taxed at the same rate as ordinary income, including IRA withdrawals. Factor this into your withdrawal rate planning.