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Finding the Fourth Proportional to 3,694.55, 5,544.08 and 1,614.57

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Solution

The fourth proportional to 3,694.55, 5,544.08 and 1,614.57 is: 2,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.55 : 5,544.08 = 1,614.57 : x
  2. Step 2: Convert to fraction form
    3,694.55/5,544.08 = 1,614.57/x
  3. Step 3: Cross multiply
    3,694.55x = 5,544.08 × 1,614.57
  4. Step 4: Simplify right side
    3,694.55x = 8,951,297.17
  5. Step 5: Solve for x
    x = 8,951,297.17/3,694.55
  6. Step 6: Final answer
    x = 2,422.84

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Why These Related Problems?

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