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Finding the Fourth Proportional to 5,596.26, 7,723.17 and 3,239.22

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Solution

The fourth proportional to 5,596.26, 7,723.17 and 3,239.22 is: 4,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.26 : 7,723.17 = 3,239.22 : x
  2. Step 2: Convert to fraction form
    5,596.26/7,723.17 = 3,239.22/x
  3. Step 3: Cross multiply
    5,596.26x = 7,723.17 × 3,239.22
  4. Step 4: Simplify right side
    5,596.26x = 25,017,046.73
  5. Step 5: Solve for x
    x = 25,017,046.73/5,596.26
  6. Step 6: Final answer
    x = 4,470.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.