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Finding the Fourth Proportional to 3,947.38, 5,447 and 2,178.87

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Solution

The fourth proportional to 3,947.38, 5,447 and 2,178.87 is: 3,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.38 : 5,447 = 2,178.87 : x
  2. Step 2: Convert to fraction form
    3,947.38/5,447 = 2,178.87/x
  3. Step 3: Cross multiply
    3,947.38x = 5,447 × 2,178.87
  4. Step 4: Simplify right side
    3,947.38x = 11,868,304.89
  5. Step 5: Solve for x
    x = 11,868,304.89/3,947.38
  6. Step 6: Final answer
    x = 3,006.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.