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Finding the Fourth Proportional to 3,558.43, 5,337.69 and 961.42

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Solution

The fourth proportional to 3,558.43, 5,337.69 and 961.42 is: 1,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.43 : 5,337.69 = 961.42 : x
  2. Step 2: Convert to fraction form
    3,558.43/5,337.69 = 961.42/x
  3. Step 3: Cross multiply
    3,558.43x = 5,337.69 × 961.42
  4. Step 4: Simplify right side
    3,558.43x = 5,131,761.92
  5. Step 5: Solve for x
    x = 5,131,761.92/3,558.43
  6. Step 6: Final answer
    x = 1,442.14

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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.