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Finding the Fourth Proportional to 3,542.78, 5,314.13 and 1,593.61

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Solution

The fourth proportional to 3,542.78, 5,314.13 and 1,593.61 is: 2,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.78 : 5,314.13 = 1,593.61 : x
  2. Step 2: Convert to fraction form
    3,542.78/5,314.13 = 1,593.61/x
  3. Step 3: Cross multiply
    3,542.78x = 5,314.13 × 1,593.61
  4. Step 4: Simplify right side
    3,542.78x = 8,468,616.17
  5. Step 5: Solve for x
    x = 8,468,616.17/3,542.78
  6. Step 6: Final answer
    x = 2,390.39

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Half scale
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Double scale
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Similar ratio
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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.