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Finding the Fourth Proportional to 3,691.42, 5,536.58 and 1,500.14

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Solution

The fourth proportional to 3,691.42, 5,536.58 and 1,500.14 is: 2,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.42 : 5,536.58 = 1,500.14 : x
  2. Step 2: Convert to fraction form
    3,691.42/5,536.58 = 1,500.14/x
  3. Step 3: Cross multiply
    3,691.42x = 5,536.58 × 1,500.14
  4. Step 4: Simplify right side
    3,691.42x = 8,305,645.12
  5. Step 5: Solve for x
    x = 8,305,645.12/3,691.42
  6. Step 6: Final answer
    x = 2,249.99

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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.