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Finding the Fourth Proportional to 5,508.96, 8,257.92 and 2,220

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Solution

The fourth proportional to 5,508.96, 8,257.92 and 2,220 is: 3,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,508.96 : 8,257.92 = 2,220 : x
  2. Step 2: Convert to fraction form
    5,508.96/8,257.92 = 2,220/x
  3. Step 3: Cross multiply
    5,508.96x = 8,257.92 × 2,220
  4. Step 4: Simplify right side
    5,508.96x = 18,332,582.40
  5. Step 5: Solve for x
    x = 18,332,582.40/5,508.96
  6. Step 6: Final answer
    x = 3,327.78

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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.