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Finding the Fourth Proportional to 3,947.84, 5,448.27 and 2,179.46

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Solution

The fourth proportional to 3,947.84, 5,448.27 and 2,179.46 is: 3,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.84 : 5,448.27 = 2,179.46 : x
  2. Step 2: Convert to fraction form
    3,947.84/5,448.27 = 2,179.46/x
  3. Step 3: Cross multiply
    3,947.84x = 5,448.27 × 2,179.46
  4. Step 4: Simplify right side
    3,947.84x = 11,874,259.29
  5. Step 5: Solve for x
    x = 11,874,259.29/3,947.84
  6. Step 6: Final answer
    x = 3,007.79

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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.