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Finding the Fourth Proportional to 3,947.91, 5,447.93 and 2,269.15

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Solution

The fourth proportional to 3,947.91, 5,447.93 and 2,269.15 is: 3,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.91 : 5,447.93 = 2,269.15 : x
  2. Step 2: Convert to fraction form
    3,947.91/5,447.93 = 2,269.15/x
  3. Step 3: Cross multiply
    3,947.91x = 5,447.93 × 2,269.15
  4. Step 4: Simplify right side
    3,947.91x = 12,362,145.39
  5. Step 5: Solve for x
    x = 12,362,145.39/3,947.91
  6. Step 6: Final answer
    x = 3,131.32

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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.