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Finding the Fourth Proportional to 5,589.60, 7,713.27 and 3,231.42

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Solution

The fourth proportional to 5,589.60, 7,713.27 and 3,231.42 is: 4,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.60 : 7,713.27 = 3,231.42 : x
  2. Step 2: Convert to fraction form
    5,589.60/7,713.27 = 3,231.42/x
  3. Step 3: Cross multiply
    5,589.60x = 7,713.27 × 3,231.42
  4. Step 4: Simplify right side
    5,589.60x = 24,924,814.94
  5. Step 5: Solve for x
    x = 24,924,814.94/5,589.60
  6. Step 6: Final answer
    x = 4,459.14

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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.