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Finding the Fourth Proportional to 3,691.60, 5,537.16 and 1,500.52

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Solution

The fourth proportional to 3,691.60, 5,537.16 and 1,500.52 is: 2,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.60 : 5,537.16 = 1,500.52 : x
  2. Step 2: Convert to fraction form
    3,691.60/5,537.16 = 1,500.52/x
  3. Step 3: Cross multiply
    3,691.60x = 5,537.16 × 1,500.52
  4. Step 4: Simplify right side
    3,691.60x = 8,308,619.32
  5. Step 5: Solve for x
    x = 8,308,619.32/3,691.60
  6. Step 6: Final answer
    x = 2,250.68

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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.