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Finding the Fourth Proportional to 3,747.72, 5,171.22 and 2,255.28

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Solution

The fourth proportional to 3,747.72, 5,171.22 and 2,255.28 is: 3,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.72 : 5,171.22 = 2,255.28 : x
  2. Step 2: Convert to fraction form
    3,747.72/5,171.22 = 2,255.28/x
  3. Step 3: Cross multiply
    3,747.72x = 5,171.22 × 2,255.28
  4. Step 4: Simplify right side
    3,747.72x = 11,662,549.04
  5. Step 5: Solve for x
    x = 11,662,549.04/3,747.72
  6. Step 6: Final answer
    x = 3,111.91

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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.