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Finding the Fourth Proportional to 5,757.42, 7,945.17 and 3,399.54

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Solution

The fourth proportional to 5,757.42, 7,945.17 and 3,399.54 is: 4,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.42 : 7,945.17 = 3,399.54 : x
  2. Step 2: Convert to fraction form
    5,757.42/7,945.17 = 3,399.54/x
  3. Step 3: Cross multiply
    5,757.42x = 7,945.17 × 3,399.54
  4. Step 4: Simplify right side
    5,757.42x = 27,009,923.22
  5. Step 5: Solve for x
    x = 27,009,923.22/5,757.42
  6. Step 6: Final answer
    x = 4,691.32

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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.