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Finding the Fourth Proportional to 3,872.85, 5,344.45 and 2,279.67

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Solution

The fourth proportional to 3,872.85, 5,344.45 and 2,279.67 is: 3,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.85 : 5,344.45 = 2,279.67 : x
  2. Step 2: Convert to fraction form
    3,872.85/5,344.45 = 2,279.67/x
  3. Step 3: Cross multiply
    3,872.85x = 5,344.45 × 2,279.67
  4. Step 4: Simplify right side
    3,872.85x = 12,183,582.33
  5. Step 5: Solve for x
    x = 12,183,582.33/3,872.85
  6. Step 6: Final answer
    x = 3,145.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.