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Finding the Fourth Proportional to 3,947.63, 5,447.46 and 2,179.22

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Solution

The fourth proportional to 3,947.63, 5,447.46 and 2,179.22 is: 3,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.63 : 5,447.46 = 2,179.22 : x
  2. Step 2: Convert to fraction form
    3,947.63/5,447.46 = 2,179.22/x
  3. Step 3: Cross multiply
    3,947.63x = 5,447.46 × 2,179.22
  4. Step 4: Simplify right side
    3,947.63x = 11,871,194.72
  5. Step 5: Solve for x
    x = 11,871,194.72/3,947.63
  6. Step 6: Final answer
    x = 3,007.17

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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.