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Finding the Fourth Proportional to 5,974.16, 8,956.97 and 2,809.82

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Solution

The fourth proportional to 5,974.16, 8,956.97 and 2,809.82 is: 4,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.16 : 8,956.97 = 2,809.82 : x
  2. Step 2: Convert to fraction form
    5,974.16/8,956.97 = 2,809.82/x
  3. Step 3: Cross multiply
    5,974.16x = 8,956.97 × 2,809.82
  4. Step 4: Simplify right side
    5,974.16x = 25,167,481.79
  5. Step 5: Solve for x
    x = 25,167,481.79/5,974.16
  6. Step 6: Final answer
    x = 4,212.73

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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.