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Finding the Fourth Proportional to 3,581.89, 5,372.22 and 949.42

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Solution

The fourth proportional to 3,581.89, 5,372.22 and 949.42 is: 1,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.89 : 5,372.22 = 949.42 : x
  2. Step 2: Convert to fraction form
    3,581.89/5,372.22 = 949.42/x
  3. Step 3: Cross multiply
    3,581.89x = 5,372.22 × 949.42
  4. Step 4: Simplify right side
    3,581.89x = 5,100,493.11
  5. Step 5: Solve for x
    x = 5,100,493.11/3,581.89
  6. Step 6: Final answer
    x = 1,423.97

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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.