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Finding the Fourth Proportional to 3,764.64, 5,195.24 and 2,272.29

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Solution

The fourth proportional to 3,764.64, 5,195.24 and 2,272.29 is: 3,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.64 : 5,195.24 = 2,272.29 : x
  2. Step 2: Convert to fraction form
    3,764.64/5,195.24 = 2,272.29/x
  3. Step 3: Cross multiply
    3,764.64x = 5,195.24 × 2,272.29
  4. Step 4: Simplify right side
    3,764.64x = 11,805,080.54
  5. Step 5: Solve for x
    x = 11,805,080.54/3,764.64
  6. Step 6: Final answer
    x = 3,135.78

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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.