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Finding the Fourth Proportional to 3,952.32, 5,451.48 and 2,377.68

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Solution

The fourth proportional to 3,952.32, 5,451.48 and 2,377.68 is: 3,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.32 : 5,451.48 = 2,377.68 : x
  2. Step 2: Convert to fraction form
    3,952.32/5,451.48 = 2,377.68/x
  3. Step 3: Cross multiply
    3,952.32x = 5,451.48 × 2,377.68
  4. Step 4: Simplify right side
    3,952.32x = 12,961,874.97
  5. Step 5: Solve for x
    x = 12,961,874.97/3,952.32
  6. Step 6: Final answer
    x = 3,279.56

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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.