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Finding the Fourth Proportional to 3,257.92, 4,487.70 and 2,729.80

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Solution

The fourth proportional to 3,257.92, 4,487.70 and 2,729.80 is: 3,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.92 : 4,487.70 = 2,729.80 : x
  2. Step 2: Convert to fraction form
    3,257.92/4,487.70 = 2,729.80/x
  3. Step 3: Cross multiply
    3,257.92x = 4,487.70 × 2,729.80
  4. Step 4: Simplify right side
    3,257.92x = 12,250,523.46
  5. Step 5: Solve for x
    x = 12,250,523.46/3,257.92
  6. Step 6: Final answer
    x = 3,760.23

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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.