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Finding the Fourth Proportional to 3,445.65, 5,167.62 and 2,414.85

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Solution

The fourth proportional to 3,445.65, 5,167.62 and 2,414.85 is: 3,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.65 : 5,167.62 = 2,414.85 : x
  2. Step 2: Convert to fraction form
    3,445.65/5,167.62 = 2,414.85/x
  3. Step 3: Cross multiply
    3,445.65x = 5,167.62 × 2,414.85
  4. Step 4: Simplify right side
    3,445.65x = 12,479,027.16
  5. Step 5: Solve for x
    x = 12,479,027.16/3,445.65
  6. Step 6: Final answer
    x = 3,621.68

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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.