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Finding the Fourth Proportional to 5,759.16, 7,947.61 and 3,401.43

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Solution

The fourth proportional to 5,759.16, 7,947.61 and 3,401.43 is: 4,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.16 : 7,947.61 = 3,401.43 : x
  2. Step 2: Convert to fraction form
    5,759.16/7,947.61 = 3,401.43/x
  3. Step 3: Cross multiply
    5,759.16x = 7,947.61 × 3,401.43
  4. Step 4: Simplify right side
    5,759.16x = 27,033,239.08
  5. Step 5: Solve for x
    x = 27,033,239.08/5,759.16
  6. Step 6: Final answer
    x = 4,693.96

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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.