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Finding the Fourth Proportional to 5,233.43, 7,850.13 and 1,337.82

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Solution

The fourth proportional to 5,233.43, 7,850.13 and 1,337.82 is: 2,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.43 : 7,850.13 = 1,337.82 : x
  2. Step 2: Convert to fraction form
    5,233.43/7,850.13 = 1,337.82/x
  3. Step 3: Cross multiply
    5,233.43x = 7,850.13 × 1,337.82
  4. Step 4: Simplify right side
    5,233.43x = 10,502,080.54
  5. Step 5: Solve for x
    x = 10,502,080.54/5,233.43
  6. Step 6: Final answer
    x = 2,006.73

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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.