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Finding the Fourth Proportional to 5,757.50, 7,945.92 and 3,769.14

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Solution

The fourth proportional to 5,757.50, 7,945.92 and 3,769.14 is: 5,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.50 : 7,945.92 = 3,769.14 : x
  2. Step 2: Convert to fraction form
    5,757.50/7,945.92 = 3,769.14/x
  3. Step 3: Cross multiply
    5,757.50x = 7,945.92 × 3,769.14
  4. Step 4: Simplify right side
    5,757.50x = 29,949,284.91
  5. Step 5: Solve for x
    x = 29,949,284.91/5,757.50
  6. Step 6: Final answer
    x = 5,201.79

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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.