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Finding the Fourth Proportional to 5,652.92, 8,477.65 and 3,909.13

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Solution

The fourth proportional to 5,652.92, 8,477.65 and 3,909.13 is: 5,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.92 : 8,477.65 = 3,909.13 : x
  2. Step 2: Convert to fraction form
    5,652.92/8,477.65 = 3,909.13/x
  3. Step 3: Cross multiply
    5,652.92x = 8,477.65 × 3,909.13
  4. Step 4: Simplify right side
    5,652.92x = 33,140,174.01
  5. Step 5: Solve for x
    x = 33,140,174.01/5,652.92
  6. Step 6: Final answer
    x = 5,862.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.