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Finding the Fourth Proportional to 3,947.75, 5,448.23 and 2,269.49

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Solution

The fourth proportional to 3,947.75, 5,448.23 and 2,269.49 is: 3,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.75 : 5,448.23 = 2,269.49 : x
  2. Step 2: Convert to fraction form
    3,947.75/5,448.23 = 2,269.49/x
  3. Step 3: Cross multiply
    3,947.75x = 5,448.23 × 2,269.49
  4. Step 4: Simplify right side
    3,947.75x = 12,364,664.91
  5. Step 5: Solve for x
    x = 12,364,664.91/3,947.75
  6. Step 6: Final answer
    x = 3,132.08

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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.