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Finding the Fourth Proportional to 5,469.47, 8,194.78 and 4,306.91

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Solution

The fourth proportional to 5,469.47, 8,194.78 and 4,306.91 is: 6,452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.47 : 8,194.78 = 4,306.91 : x
  2. Step 2: Convert to fraction form
    5,469.47/8,194.78 = 4,306.91/x
  3. Step 3: Cross multiply
    5,469.47x = 8,194.78 × 4,306.91
  4. Step 4: Simplify right side
    5,469.47x = 35,294,179.93
  5. Step 5: Solve for x
    x = 35,294,179.93/5,469.47
  6. Step 6: Final answer
    x = 6,452.94

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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.