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Finding the Fourth Proportional to 5,761.38, 7,951.10 and 3,243.73

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Solution

The fourth proportional to 5,761.38, 7,951.10 and 3,243.73 is: 4,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.38 : 7,951.10 = 3,243.73 : x
  2. Step 2: Convert to fraction form
    5,761.38/7,951.10 = 3,243.73/x
  3. Step 3: Cross multiply
    5,761.38x = 7,951.10 × 3,243.73
  4. Step 4: Simplify right side
    5,761.38x = 25,791,221.60
  5. Step 5: Solve for x
    x = 25,791,221.60/5,761.38
  6. Step 6: Final answer
    x = 4,476.57

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1.5x scale

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.