2000 is deposited into a newly opened fund on January 1, 1999. Another deposit is made into the fund on July, 1 1999. On January 1, 2000, the balance in the fund is 6000. The time-weighted rate of return in 1999 is 8.0% and the dollar-weighted rate of return is 4.8%. Calculate the balance of the fund on July 1, 1999, immediately before the deposit is made. Give your answer rounded to the nearest whole number.

The current answers on chegg are wrong, please do not use a spreadsheet.