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Finding the Fourth Proportional to 3,747.38, 5,166.57 and 3,072.69

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Solution

The fourth proportional to 3,747.38, 5,166.57 and 3,072.69 is: 4,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.38 : 5,166.57 = 3,072.69 : x
  2. Step 2: Convert to fraction form
    3,747.38/5,166.57 = 3,072.69/x
  3. Step 3: Cross multiply
    3,747.38x = 5,166.57 × 3,072.69
  4. Step 4: Simplify right side
    3,747.38x = 15,875,287.35
  5. Step 5: Solve for x
    x = 15,875,287.35/3,747.38
  6. Step 6: Final answer
    x = 4,236.38

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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.