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Finding the Fourth Proportional to 3,947.76, 5,448.06 and 2,179.32

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Solution

The fourth proportional to 3,947.76, 5,448.06 and 2,179.32 is: 3,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.76 : 5,448.06 = 2,179.32 : x
  2. Step 2: Convert to fraction form
    3,947.76/5,448.06 = 2,179.32/x
  3. Step 3: Cross multiply
    3,947.76x = 5,448.06 × 2,179.32
  4. Step 4: Simplify right side
    3,947.76x = 11,873,066.12
  5. Step 5: Solve for x
    x = 11,873,066.12/3,947.76
  6. Step 6: Final answer
    x = 3,007.55

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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.