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Finding the Fourth Proportional to 3,672.31, 5,506.67 and 2,562.26

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Solution

The fourth proportional to 3,672.31, 5,506.67 and 2,562.26 is: 3,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.31 : 5,506.67 = 2,562.26 : x
  2. Step 2: Convert to fraction form
    3,672.31/5,506.67 = 2,562.26/x
  3. Step 3: Cross multiply
    3,672.31x = 5,506.67 × 2,562.26
  4. Step 4: Simplify right side
    3,672.31x = 14,109,520.27
  5. Step 5: Solve for x
    x = 14,109,520.27/3,672.31
  6. Step 6: Final answer
    x = 3,842.14

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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.