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Finding the Fourth Proportional to 3,780, 5,217.08 and 3,613.95

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Solution

The fourth proportional to 3,780, 5,217.08 and 3,613.95 is: 4,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,217.08 = 3,613.95 : x
  2. Step 2: Convert to fraction form
    3,780/5,217.08 = 3,613.95/x
  3. Step 3: Cross multiply
    3,780x = 5,217.08 × 3,613.95
  4. Step 4: Simplify right side
    3,780x = 18,854,248.20
  5. Step 5: Solve for x
    x = 18,854,248.20/3,780
  6. Step 6: Final answer
    x = 4,987.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.