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Finding the Fourth Proportional to 5,757.75, 7,945.70 and 3,273.75

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Solution

The fourth proportional to 5,757.75, 7,945.70 and 3,273.75 is: 4,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.75 : 7,945.70 = 3,273.75 : x
  2. Step 2: Convert to fraction form
    5,757.75/7,945.70 = 3,273.75/x
  3. Step 3: Cross multiply
    5,757.75x = 7,945.70 × 3,273.75
  4. Step 4: Simplify right side
    5,757.75x = 26,012,219.01
  5. Step 5: Solve for x
    x = 26,012,219.01/5,757.75
  6. Step 6: Final answer
    x = 4,517.78

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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.