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Finding the Fourth Proportional to 4,982.33, 7,469.64 and 3,229.08

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Solution

The fourth proportional to 4,982.33, 7,469.64 and 3,229.08 is: 4,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.33 : 7,469.64 = 3,229.08 : x
  2. Step 2: Convert to fraction form
    4,982.33/7,469.64 = 3,229.08/x
  3. Step 3: Cross multiply
    4,982.33x = 7,469.64 × 3,229.08
  4. Step 4: Simplify right side
    4,982.33x = 24,120,065.13
  5. Step 5: Solve for x
    x = 24,120,065.13/4,982.33
  6. Step 6: Final answer
    x = 4,841.13

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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.