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Finding the Fourth Proportional to 5,882.90, 8,822.24 and 2,133.73

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Solution

The fourth proportional to 5,882.90, 8,822.24 and 2,133.73 is: 3,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.90 : 8,822.24 = 2,133.73 : x
  2. Step 2: Convert to fraction form
    5,882.90/8,822.24 = 2,133.73/x
  3. Step 3: Cross multiply
    5,882.90x = 8,822.24 × 2,133.73
  4. Step 4: Simplify right side
    5,882.90x = 18,824,269.97
  5. Step 5: Solve for x
    x = 18,824,269.97/5,882.90
  6. Step 6: Final answer
    x = 3,199.83

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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.