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Finding the Fourth Proportional to 3,947.27, 5,447.05 and 2,375.06

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Solution

The fourth proportional to 3,947.27, 5,447.05 and 2,375.06 is: 3,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.27 : 5,447.05 = 2,375.06 : x
  2. Step 2: Convert to fraction form
    3,947.27/5,447.05 = 2,375.06/x
  3. Step 3: Cross multiply
    3,947.27x = 5,447.05 × 2,375.06
  4. Step 4: Simplify right side
    3,947.27x = 12,937,037.40
  5. Step 5: Solve for x
    x = 12,937,037.40/3,947.27
  6. Step 6: Final answer
    x = 3,277.47

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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.