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Finding the Fourth Proportional to 4,174.38, 5,747.49 and 3,176.46

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Solution

The fourth proportional to 4,174.38, 5,747.49 and 3,176.46 is: 4,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.38 : 5,747.49 = 3,176.46 : x
  2. Step 2: Convert to fraction form
    4,174.38/5,747.49 = 3,176.46/x
  3. Step 3: Cross multiply
    4,174.38x = 5,747.49 × 3,176.46
  4. Step 4: Simplify right side
    4,174.38x = 18,256,672.09
  5. Step 5: Solve for x
    x = 18,256,672.09/4,174.38
  6. Step 6: Final answer
    x = 4,373.51

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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.