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Finding the Fourth Proportional to 5,761.50, 7,951.14 and 3,523.14

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Solution

The fourth proportional to 5,761.50, 7,951.14 and 3,523.14 is: 4,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.50 : 7,951.14 = 3,523.14 : x
  2. Step 2: Convert to fraction form
    5,761.50/7,951.14 = 3,523.14/x
  3. Step 3: Cross multiply
    5,761.50x = 7,951.14 × 3,523.14
  4. Step 4: Simplify right side
    5,761.50x = 28,012,979.38
  5. Step 5: Solve for x
    x = 28,012,979.38/5,761.50
  6. Step 6: Final answer
    x = 4,862.10

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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.