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Finding the Fourth Proportional to 5,402.40, 8,108.16 and 3,944.32

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Solution

The fourth proportional to 5,402.40, 8,108.16 and 3,944.32 is: 5,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.40 : 8,108.16 = 3,944.32 : x
  2. Step 2: Convert to fraction form
    5,402.40/8,108.16 = 3,944.32/x
  3. Step 3: Cross multiply
    5,402.40x = 8,108.16 × 3,944.32
  4. Step 4: Simplify right side
    5,402.40x = 31,981,177.65
  5. Step 5: Solve for x
    x = 31,981,177.65/5,402.40
  6. Step 6: Final answer
    x = 5,919.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.