Your brother has asked you for a loan and has promised to pay you $$5,450$ at the end of three years. If you normally invest to earn $7\mathrm{.}6$ percent per year, how much will you be willing to lend to your brother if you view this purely as a financial transaction $($i$.$e$.,$ you don't give your brother a special deal$)?($Round intermediate calculations to $6$ decimal places, e$.$g$.2\mathrm{.}512512$ and final answer to $2$ decimal places, e$.$g$.2,515\mathrm{.}25.)$

Amount to be loaned today

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