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Finding the Fourth Proportional to 5,759.70, 7,947.27 and 3,402.24

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Solution

The fourth proportional to 5,759.70, 7,947.27 and 3,402.24 is: 4,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.70 : 7,947.27 = 3,402.24 : x
  2. Step 2: Convert to fraction form
    5,759.70/7,947.27 = 3,402.24/x
  3. Step 3: Cross multiply
    5,759.70x = 7,947.27 × 3,402.24
  4. Step 4: Simplify right side
    5,759.70x = 27,038,519.88
  5. Step 5: Solve for x
    x = 27,038,519.88/5,759.70
  6. Step 6: Final answer
    x = 4,694.43

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1.5x scale

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.