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Finding the Fourth Proportional to 3,462.38, 5,194.25 and 1,122.97

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Solution

The fourth proportional to 3,462.38, 5,194.25 and 1,122.97 is: 1,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.38 : 5,194.25 = 1,122.97 : x
  2. Step 2: Convert to fraction form
    3,462.38/5,194.25 = 1,122.97/x
  3. Step 3: Cross multiply
    3,462.38x = 5,194.25 × 1,122.97
  4. Step 4: Simplify right side
    3,462.38x = 5,832,986.92
  5. Step 5: Solve for x
    x = 5,832,986.92/3,462.38
  6. Step 6: Final answer
    x = 1,684.68

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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.