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Finding the Fourth Proportional to 5,540, 8,299.34 and 4,363.78

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Solution

The fourth proportional to 5,540, 8,299.34 and 4,363.78 is: 6,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540 : 8,299.34 = 4,363.78 : x
  2. Step 2: Convert to fraction form
    5,540/8,299.34 = 4,363.78/x
  3. Step 3: Cross multiply
    5,540x = 8,299.34 × 4,363.78
  4. Step 4: Simplify right side
    5,540x = 36,216,493.91
  5. Step 5: Solve for x
    x = 36,216,493.91/5,540
  6. Step 6: Final answer
    x = 6,537.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.