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Finding the Fourth Proportional to 4,760.59, 6,565.25 and 4,088.17

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Solution

The fourth proportional to 4,760.59, 6,565.25 and 4,088.17 is: 5,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.59 : 6,565.25 = 4,088.17 : x
  2. Step 2: Convert to fraction form
    4,760.59/6,565.25 = 4,088.17/x
  3. Step 3: Cross multiply
    4,760.59x = 6,565.25 × 4,088.17
  4. Step 4: Simplify right side
    4,760.59x = 26,839,858.09
  5. Step 5: Solve for x
    x = 26,839,858.09/4,760.59
  6. Step 6: Final answer
    x = 5,637.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.