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Finding the Fourth Proportional to 3,691.02, 5,536.50 and 1,499.24

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Solution

The fourth proportional to 3,691.02, 5,536.50 and 1,499.24 is: 2,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.02 : 5,536.50 = 1,499.24 : x
  2. Step 2: Convert to fraction form
    3,691.02/5,536.50 = 1,499.24/x
  3. Step 3: Cross multiply
    3,691.02x = 5,536.50 × 1,499.24
  4. Step 4: Simplify right side
    3,691.02x = 8,300,542.26
  5. Step 5: Solve for x
    x = 8,300,542.26/3,691.02
  6. Step 6: Final answer
    x = 2,248.85

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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.