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Finding the Fourth Proportional to 5,744.88, 8,618.10 and 2,823.30

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Solution

The fourth proportional to 5,744.88, 8,618.10 and 2,823.30 is: 4,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.88 : 8,618.10 = 2,823.30 : x
  2. Step 2: Convert to fraction form
    5,744.88/8,618.10 = 2,823.30/x
  3. Step 3: Cross multiply
    5,744.88x = 8,618.10 × 2,823.30
  4. Step 4: Simplify right side
    5,744.88x = 24,331,481.73
  5. Step 5: Solve for x
    x = 24,331,481.73/5,744.88
  6. Step 6: Final answer
    x = 4,235.33

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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.