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Finding the Fourth Proportional to 5,769.92, 7,951.44 and 3,998.24

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Solution

The fourth proportional to 5,769.92, 7,951.44 and 3,998.24 is: 5,509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.92 : 7,951.44 = 3,998.24 : x
  2. Step 2: Convert to fraction form
    5,769.92/7,951.44 = 3,998.24/x
  3. Step 3: Cross multiply
    5,769.92x = 7,951.44 × 3,998.24
  4. Step 4: Simplify right side
    5,769.92x = 31,791,765.47
  5. Step 5: Solve for x
    x = 31,791,765.47/5,769.92
  6. Step 6: Final answer
    x = 5,509.91

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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.