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Finding the Fourth Proportional to 3,947.35, 5,447.24 and 2,178.83

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Solution

The fourth proportional to 3,947.35, 5,447.24 and 2,178.83 is: 3,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.35 : 5,447.24 = 2,178.83 : x
  2. Step 2: Convert to fraction form
    3,947.35/5,447.24 = 2,178.83/x
  3. Step 3: Cross multiply
    3,947.35x = 5,447.24 × 2,178.83
  4. Step 4: Simplify right side
    3,947.35x = 11,868,585.42
  5. Step 5: Solve for x
    x = 11,868,585.42/3,947.35
  6. Step 6: Final answer
    x = 3,006.72

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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.