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Finding the Fourth Proportional to 5,761.92, 7,951.41 and 3,666

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Solution

The fourth proportional to 5,761.92, 7,951.41 and 3,666 is: 5,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.92 : 7,951.41 = 3,666 : x
  2. Step 2: Convert to fraction form
    5,761.92/7,951.41 = 3,666/x
  3. Step 3: Cross multiply
    5,761.92x = 7,951.41 × 3,666
  4. Step 4: Simplify right side
    5,761.92x = 29,149,869.06
  5. Step 5: Solve for x
    x = 29,149,869.06/5,761.92
  6. Step 6: Final answer
    x = 5,059.05

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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.