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Finding the Fourth Proportional to 3,287.38, 4,537.20 and 1,962.22

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Solution

The fourth proportional to 3,287.38, 4,537.20 and 1,962.22 is: 2,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.38 : 4,537.20 = 1,962.22 : x
  2. Step 2: Convert to fraction form
    3,287.38/4,537.20 = 1,962.22/x
  3. Step 3: Cross multiply
    3,287.38x = 4,537.20 × 1,962.22
  4. Step 4: Simplify right side
    3,287.38x = 8,902,984.58
  5. Step 5: Solve for x
    x = 8,902,984.58/3,287.38
  6. Step 6: Final answer
    x = 2,708.23

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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.