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Finding the Fourth Proportional to 5,682, 8,517.33 and 2,396.91

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Solution

The fourth proportional to 5,682, 8,517.33 and 2,396.91 is: 3,592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682 : 8,517.33 = 2,396.91 : x
  2. Step 2: Convert to fraction form
    5,682/8,517.33 = 2,396.91/x
  3. Step 3: Cross multiply
    5,682x = 8,517.33 × 2,396.91
  4. Step 4: Simplify right side
    5,682x = 20,415,273.45
  5. Step 5: Solve for x
    x = 20,415,273.45/5,682
  6. Step 6: Final answer
    x = 3,592.97

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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.