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Finding the Fourth Proportional to 5,691.42, 8,538.03 and 2,404.98

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Solution

The fourth proportional to 5,691.42, 8,538.03 and 2,404.98 is: 3,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.42 : 8,538.03 = 2,404.98 : x
  2. Step 2: Convert to fraction form
    5,691.42/8,538.03 = 2,404.98/x
  3. Step 3: Cross multiply
    5,691.42x = 8,538.03 × 2,404.98
  4. Step 4: Simplify right side
    5,691.42x = 20,533,791.39
  5. Step 5: Solve for x
    x = 20,533,791.39/5,691.42
  6. Step 6: Final answer
    x = 3,607.85

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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.