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Finding the Fourth Proportional to 4,044.38, 5,584.38 and 3,158.64

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Solution

The fourth proportional to 4,044.38, 5,584.38 and 3,158.64 is: 4,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.38 : 5,584.38 = 3,158.64 : x
  2. Step 2: Convert to fraction form
    4,044.38/5,584.38 = 3,158.64/x
  3. Step 3: Cross multiply
    4,044.38x = 5,584.38 × 3,158.64
  4. Step 4: Simplify right side
    4,044.38x = 17,639,046.04
  5. Step 5: Solve for x
    x = 17,639,046.04/4,044.38
  6. Step 6: Final answer
    x = 4,361.37

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Why These Related Problems?

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