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Finding the Fourth Proportional to 5,759.46, 7,947.99 and 3,401.55

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Solution

The fourth proportional to 5,759.46, 7,947.99 and 3,401.55 is: 4,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.46 : 7,947.99 = 3,401.55 : x
  2. Step 2: Convert to fraction form
    5,759.46/7,947.99 = 3,401.55/x
  3. Step 3: Cross multiply
    5,759.46x = 7,947.99 × 3,401.55
  4. Step 4: Simplify right side
    5,759.46x = 27,035,485.38
  5. Step 5: Solve for x
    x = 27,035,485.38/5,759.46
  6. Step 6: Final answer
    x = 4,694.10

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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.