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Finding the Fourth Proportional to 5,609.67, 8,414.82 and 2,833.09

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Solution

The fourth proportional to 5,609.67, 8,414.82 and 2,833.09 is: 4,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.67 : 8,414.82 = 2,833.09 : x
  2. Step 2: Convert to fraction form
    5,609.67/8,414.82 = 2,833.09/x
  3. Step 3: Cross multiply
    5,609.67x = 8,414.82 × 2,833.09
  4. Step 4: Simplify right side
    5,609.67x = 23,839,921.36
  5. Step 5: Solve for x
    x = 23,839,921.36/5,609.67
  6. Step 6: Final answer
    x = 4,249.79

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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.