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Finding the Fourth Proportional to 3,691.93, 5,539.11 and 1,743.88

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Solution

The fourth proportional to 3,691.93, 5,539.11 and 1,743.88 is: 2,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.93 : 5,539.11 = 1,743.88 : x
  2. Step 2: Convert to fraction form
    3,691.93/5,539.11 = 1,743.88/x
  3. Step 3: Cross multiply
    3,691.93x = 5,539.11 × 1,743.88
  4. Step 4: Simplify right side
    3,691.93x = 9,659,543.15
  5. Step 5: Solve for x
    x = 9,659,543.15/3,691.93
  6. Step 6: Final answer
    x = 2,616.39

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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.