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Finding the Fourth Proportional to 3,747.69, 5,170.68 and 2,175.48

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Solution

The fourth proportional to 3,747.69, 5,170.68 and 2,175.48 is: 3,001.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.69 : 5,170.68 = 2,175.48 : x
  2. Step 2: Convert to fraction form
    3,747.69/5,170.68 = 2,175.48/x
  3. Step 3: Cross multiply
    3,747.69x = 5,170.68 × 2,175.48
  4. Step 4: Simplify right side
    3,747.69x = 11,248,710.93
  5. Step 5: Solve for x
    x = 11,248,710.93/3,747.69
  6. Step 6: Final answer
    x = 3,001.51

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