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Finding the Fourth Proportional to 5,759.64, 7,947.69 and 3,241.70

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Solution

The fourth proportional to 5,759.64, 7,947.69 and 3,241.70 is: 4,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.64 : 7,947.69 = 3,241.70 : x
  2. Step 2: Convert to fraction form
    5,759.64/7,947.69 = 3,241.70/x
  3. Step 3: Cross multiply
    5,759.64x = 7,947.69 × 3,241.70
  4. Step 4: Simplify right side
    5,759.64x = 25,764,076.64
  5. Step 5: Solve for x
    x = 25,764,076.64/5,759.64
  6. Step 6: Final answer
    x = 4,473.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.