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Finding the Fourth Proportional to 3,947.31, 5,892.03 and 3,480.24

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Solution

The fourth proportional to 3,947.31, 5,892.03 and 3,480.24 is: 5,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.31 : 5,892.03 = 3,480.24 : x
  2. Step 2: Convert to fraction form
    3,947.31/5,892.03 = 3,480.24/x
  3. Step 3: Cross multiply
    3,947.31x = 5,892.03 × 3,480.24
  4. Step 4: Simplify right side
    3,947.31x = 20,505,678.49
  5. Step 5: Solve for x
    x = 20,505,678.49/3,947.31
  6. Step 6: Final answer
    x = 5,194.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.