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Finding the Fourth Proportional to 5,906.76, 8,854.46 and 2,207.96

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Solution

The fourth proportional to 5,906.76, 8,854.46 and 2,207.96 is: 3,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.76 : 8,854.46 = 2,207.96 : x
  2. Step 2: Convert to fraction form
    5,906.76/8,854.46 = 2,207.96/x
  3. Step 3: Cross multiply
    5,906.76x = 8,854.46 × 2,207.96
  4. Step 4: Simplify right side
    5,906.76x = 19,550,293.50
  5. Step 5: Solve for x
    x = 19,550,293.50/5,906.76
  6. Step 6: Final answer
    x = 3,309.82

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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.