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Finding the Fourth Proportional to 3,949.52, 5,451 and 2,377.76

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Solution

The fourth proportional to 3,949.52, 5,451 and 2,377.76 is: 3,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.52 : 5,451 = 2,377.76 : x
  2. Step 2: Convert to fraction form
    3,949.52/5,451 = 2,377.76/x
  3. Step 3: Cross multiply
    3,949.52x = 5,451 × 2,377.76
  4. Step 4: Simplify right side
    3,949.52x = 12,961,169.76
  5. Step 5: Solve for x
    x = 12,961,169.76/3,949.52
  6. Step 6: Final answer
    x = 3,281.71

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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.