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Finding the Fourth Proportional to 3,947.40, 5,447.42 and 2,179

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Solution

The fourth proportional to 3,947.40, 5,447.42 and 2,179 is: 3,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.40 : 5,447.42 = 2,179 : x
  2. Step 2: Convert to fraction form
    3,947.40/5,447.42 = 2,179/x
  3. Step 3: Cross multiply
    3,947.40x = 5,447.42 × 2,179
  4. Step 4: Simplify right side
    3,947.40x = 11,869,928.18
  5. Step 5: Solve for x
    x = 11,869,928.18/3,947.40
  6. Step 6: Final answer
    x = 3,007.02

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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.