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Finding the Fourth Proportional to 5,264.20, 7,249.83 and 5,149.38

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Solution

The fourth proportional to 5,264.20, 7,249.83 and 5,149.38 is: 7,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.20 : 7,249.83 = 5,149.38 : x
  2. Step 2: Convert to fraction form
    5,264.20/7,249.83 = 5,149.38/x
  3. Step 3: Cross multiply
    5,264.20x = 7,249.83 × 5,149.38
  4. Step 4: Simplify right side
    5,264.20x = 37,332,129.61
  5. Step 5: Solve for x
    x = 37,332,129.61/5,264.20
  6. Step 6: Final answer
    x = 7,091.70

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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.