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Finding the Fourth Proportional to 5,321.34, 7,344.03 and 3,225.42

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Solution

The fourth proportional to 5,321.34, 7,344.03 and 3,225.42 is: 4,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.34 : 7,344.03 = 3,225.42 : x
  2. Step 2: Convert to fraction form
    5,321.34/7,344.03 = 3,225.42/x
  3. Step 3: Cross multiply
    5,321.34x = 7,344.03 × 3,225.42
  4. Step 4: Simplify right side
    5,321.34x = 23,687,581.24
  5. Step 5: Solve for x
    x = 23,687,581.24/5,321.34
  6. Step 6: Final answer
    x = 4,451.43

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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.