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Finding the Fourth Proportional to 4,462.20, 6,691 and 2,613.88

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Solution

The fourth proportional to 4,462.20, 6,691 and 2,613.88 is: 3,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.20 : 6,691 = 2,613.88 : x
  2. Step 2: Convert to fraction form
    4,462.20/6,691 = 2,613.88/x
  3. Step 3: Cross multiply
    4,462.20x = 6,691 × 2,613.88
  4. Step 4: Simplify right side
    4,462.20x = 17,489,471.08
  5. Step 5: Solve for x
    x = 17,489,471.08/4,462.20
  6. Step 6: Final answer
    x = 3,919.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.