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Finding the Fourth Proportional to 3,747.38, 5,173.62 and 3,332.24

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Solution

The fourth proportional to 3,747.38, 5,173.62 and 3,332.24 is: 4,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.38 : 5,173.62 = 3,332.24 : x
  2. Step 2: Convert to fraction form
    3,747.38/5,173.62 = 3,332.24/x
  3. Step 3: Cross multiply
    3,747.38x = 5,173.62 × 3,332.24
  4. Step 4: Simplify right side
    3,747.38x = 17,239,743.51
  5. Step 5: Solve for x
    x = 17,239,743.51/3,747.38
  6. Step 6: Final answer
    x = 4,600.48

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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.