One of the G-strings on a banjo plays a G4, which has a frequency of 392 Hz and is 26.25 inches long. The second fret on this string plays an A4, which has a frequency of 440 Hz. The seventh fret plays a D5, which has a frequency of 587.33 Hz. What is the distance between the second fret and the seventh fret on this banjo? Round your answer to the nearest 0.01 inch.

Hint: there is no shortcut. First find the distance from the bridge to the second fret...