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Finding the Fourth Proportional to 3,613.14, 5,424.90 and 2,229.21

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Solution

The fourth proportional to 3,613.14, 5,424.90 and 2,229.21 is: 3,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.14 : 5,424.90 = 2,229.21 : x
  2. Step 2: Convert to fraction form
    3,613.14/5,424.90 = 2,229.21/x
  3. Step 3: Cross multiply
    3,613.14x = 5,424.90 × 2,229.21
  4. Step 4: Simplify right side
    3,613.14x = 12,093,241.33
  5. Step 5: Solve for x
    x = 12,093,241.33/3,613.14
  6. Step 6: Final answer
    x = 3,347.02

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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.