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Finding the Fourth Proportional to 5,392.40, 8,092.20 and 2,469.20

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Solution

The fourth proportional to 5,392.40, 8,092.20 and 2,469.20 is: 3,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.40 : 8,092.20 = 2,469.20 : x
  2. Step 2: Convert to fraction form
    5,392.40/8,092.20 = 2,469.20/x
  3. Step 3: Cross multiply
    5,392.40x = 8,092.20 × 2,469.20
  4. Step 4: Simplify right side
    5,392.40x = 19,981,260.24
  5. Step 5: Solve for x
    x = 19,981,260.24/5,392.40
  6. Step 6: Final answer
    x = 3,705.45

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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.