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Finding the Fourth Proportional to 3,627.24, 5,439.24 and 1,680

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Solution

The fourth proportional to 3,627.24, 5,439.24 and 1,680 is: 2,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.24 : 5,439.24 = 1,680 : x
  2. Step 2: Convert to fraction form
    3,627.24/5,439.24 = 1,680/x
  3. Step 3: Cross multiply
    3,627.24x = 5,439.24 × 1,680
  4. Step 4: Simplify right side
    3,627.24x = 9,137,923.20
  5. Step 5: Solve for x
    x = 9,137,923.20/3,627.24
  6. Step 6: Final answer
    x = 2,519.25

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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.