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Finding the Fourth Proportional to 5,581.41, 8,372.17 and 1,421.42

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Solution

The fourth proportional to 5,581.41, 8,372.17 and 1,421.42 is: 2,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.41 : 8,372.17 = 1,421.42 : x
  2. Step 2: Convert to fraction form
    5,581.41/8,372.17 = 1,421.42/x
  3. Step 3: Cross multiply
    5,581.41x = 8,372.17 × 1,421.42
  4. Step 4: Simplify right side
    5,581.41x = 11,900,369.88
  5. Step 5: Solve for x
    x = 11,900,369.88/5,581.41
  6. Step 6: Final answer
    x = 2,132.14

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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.