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Finding the Fourth Proportional to 3,754.89, 5,181.78 and 2,053.44

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Solution

The fourth proportional to 3,754.89, 5,181.78 and 2,053.44 is: 2,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.89 : 5,181.78 = 2,053.44 : x
  2. Step 2: Convert to fraction form
    3,754.89/5,181.78 = 2,053.44/x
  3. Step 3: Cross multiply
    3,754.89x = 5,181.78 × 2,053.44
  4. Step 4: Simplify right side
    3,754.89x = 10,640,470.47
  5. Step 5: Solve for x
    x = 10,640,470.47/3,754.89
  6. Step 6: Final answer
    x = 2,833.76

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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.