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Finding the Fourth Proportional to 5,641.29, 7,785.84 and 3,517.17

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Solution

The fourth proportional to 5,641.29, 7,785.84 and 3,517.17 is: 4,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.29 : 7,785.84 = 3,517.17 : x
  2. Step 2: Convert to fraction form
    5,641.29/7,785.84 = 3,517.17/x
  3. Step 3: Cross multiply
    5,641.29x = 7,785.84 × 3,517.17
  4. Step 4: Simplify right side
    5,641.29x = 27,384,083.94
  5. Step 5: Solve for x
    x = 27,384,083.94/5,641.29
  6. Step 6: Final answer
    x = 4,854.22

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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.