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Finding the Fourth Proportional to 3,451.72, 4,761.42 and 2,125.16

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Solution

The fourth proportional to 3,451.72, 4,761.42 and 2,125.16 is: 2,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.72 : 4,761.42 = 2,125.16 : x
  2. Step 2: Convert to fraction form
    3,451.72/4,761.42 = 2,125.16/x
  3. Step 3: Cross multiply
    3,451.72x = 4,761.42 × 2,125.16
  4. Step 4: Simplify right side
    3,451.72x = 10,118,755.52
  5. Step 5: Solve for x
    x = 10,118,755.52/3,451.72
  6. Step 6: Final answer
    x = 2,931.52

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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.