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Finding the Fourth Proportional to 3,747.69, 5,171.51 and 2,175.89

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Solution

The fourth proportional to 3,747.69, 5,171.51 and 2,175.89 is: 3,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.69 : 5,171.51 = 2,175.89 : x
  2. Step 2: Convert to fraction form
    3,747.69/5,171.51 = 2,175.89/x
  3. Step 3: Cross multiply
    3,747.69x = 5,171.51 × 2,175.89
  4. Step 4: Simplify right side
    3,747.69x = 11,252,616.48
  5. Step 5: Solve for x
    x = 11,252,616.48/3,747.69
  6. Step 6: Final answer
    x = 3,002.55

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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.