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Finding the Fourth Proportional to 3,947.96, 5,448.26 and 2,179.64

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Solution

The fourth proportional to 3,947.96, 5,448.26 and 2,179.64 is: 3,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.96 : 5,448.26 = 2,179.64 : x
  2. Step 2: Convert to fraction form
    3,947.96/5,448.26 = 2,179.64/x
  3. Step 3: Cross multiply
    3,947.96x = 5,448.26 × 2,179.64
  4. Step 4: Simplify right side
    3,947.96x = 11,875,245.43
  5. Step 5: Solve for x
    x = 11,875,245.43/3,947.96
  6. Step 6: Final answer
    x = 3,007.94

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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.