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Finding the Fourth Proportional to 3,542, 5,313 and 1,233.52

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Solution

The fourth proportional to 3,542, 5,313 and 1,233.52 is: 1,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542 : 5,313 = 1,233.52 : x
  2. Step 2: Convert to fraction form
    3,542/5,313 = 1,233.52/x
  3. Step 3: Cross multiply
    3,542x = 5,313 × 1,233.52
  4. Step 4: Simplify right side
    3,542x = 6,553,691.76
  5. Step 5: Solve for x
    x = 6,553,691.76/3,542
  6. Step 6: Final answer
    x = 1,850.28

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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.