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Finding the Fourth Proportional to 3,694.46, 5,544 and 1,915.70

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Solution

The fourth proportional to 3,694.46, 5,544 and 1,915.70 is: 2,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.46 : 5,544 = 1,915.70 : x
  2. Step 2: Convert to fraction form
    3,694.46/5,544 = 1,915.70/x
  3. Step 3: Cross multiply
    3,694.46x = 5,544 × 1,915.70
  4. Step 4: Simplify right side
    3,694.46x = 10,620,640.80
  5. Step 5: Solve for x
    x = 10,620,640.80/3,694.46
  6. Step 6: Final answer
    x = 2,874.75

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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.