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Finding the Fourth Proportional to 3,850.38, 5,781.24 and 3,149.70

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Solution

The fourth proportional to 3,850.38, 5,781.24 and 3,149.70 is: 4,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.38 : 5,781.24 = 3,149.70 : x
  2. Step 2: Convert to fraction form
    3,850.38/5,781.24 = 3,149.70/x
  3. Step 3: Cross multiply
    3,850.38x = 5,781.24 × 3,149.70
  4. Step 4: Simplify right side
    3,850.38x = 18,209,171.63
  5. Step 5: Solve for x
    x = 18,209,171.63/3,850.38
  6. Step 6: Final answer
    x = 4,729.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.