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Finding the Fourth Proportional to 3,912.74, 5,397.54 and 3,167.54

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Solution

The fourth proportional to 3,912.74, 5,397.54 and 3,167.54 is: 4,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.74 : 5,397.54 = 3,167.54 : x
  2. Step 2: Convert to fraction form
    3,912.74/5,397.54 = 3,167.54/x
  3. Step 3: Cross multiply
    3,912.74x = 5,397.54 × 3,167.54
  4. Step 4: Simplify right side
    3,912.74x = 17,096,923.85
  5. Step 5: Solve for x
    x = 17,096,923.85/3,912.74
  6. Step 6: Final answer
    x = 4,369.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.