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Finding the Fourth Proportional to 5,759.25, 7,947.80 and 3,241.40

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Solution

The fourth proportional to 5,759.25, 7,947.80 and 3,241.40 is: 4,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.25 : 7,947.80 = 3,241.40 : x
  2. Step 2: Convert to fraction form
    5,759.25/7,947.80 = 3,241.40/x
  3. Step 3: Cross multiply
    5,759.25x = 7,947.80 × 3,241.40
  4. Step 4: Simplify right side
    5,759.25x = 25,761,998.92
  5. Step 5: Solve for x
    x = 25,761,998.92/5,759.25
  6. Step 6: Final answer
    x = 4,473.15

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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.