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Finding the Fourth Proportional to 5,691.14, 8,542.04 and 3,504.14

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Solution

The fourth proportional to 5,691.14, 8,542.04 and 3,504.14 is: 5,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.14 : 8,542.04 = 3,504.14 : x
  2. Step 2: Convert to fraction form
    5,691.14/8,542.04 = 3,504.14/x
  3. Step 3: Cross multiply
    5,691.14x = 8,542.04 × 3,504.14
  4. Step 4: Simplify right side
    5,691.14x = 29,932,504.05
  5. Step 5: Solve for x
    x = 29,932,504.05/5,691.14
  6. Step 6: Final answer
    x = 5,259.49

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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.