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Finding the Fourth Proportional to 3,844.92, 5,300.46 and 2,739

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Solution

The fourth proportional to 3,844.92, 5,300.46 and 2,739 is: 3,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.92 : 5,300.46 = 2,739 : x
  2. Step 2: Convert to fraction form
    3,844.92/5,300.46 = 2,739/x
  3. Step 3: Cross multiply
    3,844.92x = 5,300.46 × 2,739
  4. Step 4: Simplify right side
    3,844.92x = 14,517,959.94
  5. Step 5: Solve for x
    x = 14,517,959.94/3,844.92
  6. Step 6: Final answer
    x = 3,775.88

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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.