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Finding the Fourth Proportional to 3,947.96, 5,454.16 and 2,951.52

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Solution

The fourth proportional to 3,947.96, 5,454.16 and 2,951.52 is: 4,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.96 : 5,454.16 = 2,951.52 : x
  2. Step 2: Convert to fraction form
    3,947.96/5,454.16 = 2,951.52/x
  3. Step 3: Cross multiply
    3,947.96x = 5,454.16 × 2,951.52
  4. Step 4: Simplify right side
    3,947.96x = 16,098,062.32
  5. Step 5: Solve for x
    x = 16,098,062.32/3,947.96
  6. Step 6: Final answer
    x = 4,077.56

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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.