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Finding the Fourth Proportional to 5,739.26, 8,609.31 and 2,229.12

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Solution

The fourth proportional to 5,739.26, 8,609.31 and 2,229.12 is: 3,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.26 : 8,609.31 = 2,229.12 : x
  2. Step 2: Convert to fraction form
    5,739.26/8,609.31 = 2,229.12/x
  3. Step 3: Cross multiply
    5,739.26x = 8,609.31 × 2,229.12
  4. Step 4: Simplify right side
    5,739.26x = 19,191,185.11
  5. Step 5: Solve for x
    x = 19,191,185.11/5,739.26
  6. Step 6: Final answer
    x = 3,343.85

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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.