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Finding the Fourth Proportional to 3,742.18, 5,613.88 and 1,662.90

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Solution

The fourth proportional to 3,742.18, 5,613.88 and 1,662.90 is: 2,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.18 : 5,613.88 = 1,662.90 : x
  2. Step 2: Convert to fraction form
    3,742.18/5,613.88 = 1,662.90/x
  3. Step 3: Cross multiply
    3,742.18x = 5,613.88 × 1,662.90
  4. Step 4: Simplify right side
    3,742.18x = 9,335,321.05
  5. Step 5: Solve for x
    x = 9,335,321.05/3,742.18
  6. Step 6: Final answer
    x = 2,494.62

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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.