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Finding the Fourth Proportional to 5,761.08, 7,948.14 and 3,772.74

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Solution

The fourth proportional to 5,761.08, 7,948.14 and 3,772.74 is: 5,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.08 : 7,948.14 = 3,772.74 : x
  2. Step 2: Convert to fraction form
    5,761.08/7,948.14 = 3,772.74/x
  3. Step 3: Cross multiply
    5,761.08x = 7,948.14 × 3,772.74
  4. Step 4: Simplify right side
    5,761.08x = 29,986,265.70
  5. Step 5: Solve for x
    x = 29,986,265.70/5,761.08
  6. Step 6: Final answer
    x = 5,204.97

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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.