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Finding the Fourth Proportional to 3,947.84, 5,448.26 and 2,179.45

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Solution

The fourth proportional to 3,947.84, 5,448.26 and 2,179.45 is: 3,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.84 : 5,448.26 = 2,179.45 : x
  2. Step 2: Convert to fraction form
    3,947.84/5,448.26 = 2,179.45/x
  3. Step 3: Cross multiply
    3,947.84x = 5,448.26 × 2,179.45
  4. Step 4: Simplify right side
    3,947.84x = 11,874,202.08
  5. Step 5: Solve for x
    x = 11,874,202.08/3,947.84
  6. Step 6: Final answer
    x = 3,007.78

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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.