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Finding the Fourth Proportional to 6,169.43, 8,513.61 and 3,517.70

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Solution

The fourth proportional to 6,169.43, 8,513.61 and 3,517.70 is: 4,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.43 : 8,513.61 = 3,517.70 : x
  2. Step 2: Convert to fraction form
    6,169.43/8,513.61 = 3,517.70/x
  3. Step 3: Cross multiply
    6,169.43x = 8,513.61 × 3,517.70
  4. Step 4: Simplify right side
    6,169.43x = 29,948,270.14
  5. Step 5: Solve for x
    x = 29,948,270.14/6,169.43
  6. Step 6: Final answer
    x = 4,854.30

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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.