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Finding the Fourth Proportional to 3,252.20, 4,484.84 and 2,982.38

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Solution

The fourth proportional to 3,252.20, 4,484.84 and 2,982.38 is: 4,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.20 : 4,484.84 = 2,982.38 : x
  2. Step 2: Convert to fraction form
    3,252.20/4,484.84 = 2,982.38/x
  3. Step 3: Cross multiply
    3,252.20x = 4,484.84 × 2,982.38
  4. Step 4: Simplify right side
    3,252.20x = 13,375,497.12
  5. Step 5: Solve for x
    x = 13,375,497.12/3,252.20
  6. Step 6: Final answer
    x = 4,112.75

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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.