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Finding the Fourth Proportional to 3,872.84, 5,344.62 and 2,279.57

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Solution

The fourth proportional to 3,872.84, 5,344.62 and 2,279.57 is: 3,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.84 : 5,344.62 = 2,279.57 : x
  2. Step 2: Convert to fraction form
    3,872.84/5,344.62 = 2,279.57/x
  3. Step 3: Cross multiply
    3,872.84x = 5,344.62 × 2,279.57
  4. Step 4: Simplify right side
    3,872.84x = 12,183,435.41
  5. Step 5: Solve for x
    x = 12,183,435.41/3,872.84
  6. Step 6: Final answer
    x = 3,145.87

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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.