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Finding the Fourth Proportional to 5,844.00, 8,765.92 and 2,144.78

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Solution

The fourth proportional to 5,844.00, 8,765.92 and 2,144.78 is: 3,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.00 : 8,765.92 = 2,144.78 : x
  2. Step 2: Convert to fraction form
    5,844.00/8,765.92 = 2,144.78/x
  3. Step 3: Cross multiply
    5,844.00x = 8,765.92 × 2,144.78
  4. Step 4: Simplify right side
    5,844.00x = 18,800,961.62
  5. Step 5: Solve for x
    x = 18,800,961.62/5,844.00
  6. Step 6: Final answer
    x = 3,217.14

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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.