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Finding the Fourth Proportional to 3,947.46, 5,447.92 and 2,268.93

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Solution

The fourth proportional to 3,947.46, 5,447.92 and 2,268.93 is: 3,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.46 : 5,447.92 = 2,268.93 : x
  2. Step 2: Convert to fraction form
    3,947.46/5,447.92 = 2,268.93/x
  3. Step 3: Cross multiply
    3,947.46x = 5,447.92 × 2,268.93
  4. Step 4: Simplify right side
    3,947.46x = 12,360,949.13
  5. Step 5: Solve for x
    x = 12,360,949.13/3,947.46
  6. Step 6: Final answer
    x = 3,131.37

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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.