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Finding the Fourth Proportional to 3,729.92, 5,147.56 and 2,468.80

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Solution

The fourth proportional to 3,729.92, 5,147.56 and 2,468.80 is: 3,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.92 : 5,147.56 = 2,468.80 : x
  2. Step 2: Convert to fraction form
    3,729.92/5,147.56 = 2,468.80/x
  3. Step 3: Cross multiply
    3,729.92x = 5,147.56 × 2,468.80
  4. Step 4: Simplify right side
    3,729.92x = 12,708,296.13
  5. Step 5: Solve for x
    x = 12,708,296.13/3,729.92
  6. Step 6: Final answer
    x = 3,407.12

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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.