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Finding the Fourth Proportional to 3,947.70, 5,447.86 and 2,179.38

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Solution

The fourth proportional to 3,947.70, 5,447.86 and 2,179.38 is: 3,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.70 : 5,447.86 = 2,179.38 : x
  2. Step 2: Convert to fraction form
    3,947.70/5,447.86 = 2,179.38/x
  3. Step 3: Cross multiply
    3,947.70x = 5,447.86 × 2,179.38
  4. Step 4: Simplify right side
    3,947.70x = 11,872,957.13
  5. Step 5: Solve for x
    x = 11,872,957.13/3,947.70
  6. Step 6: Final answer
    x = 3,007.56

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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.