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Finding the Fourth Proportional to 3,272.67, 4,872.49 and 3,083.13

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Solution

The fourth proportional to 3,272.67, 4,872.49 and 3,083.13 is: 4,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.67 : 4,872.49 = 3,083.13 : x
  2. Step 2: Convert to fraction form
    3,272.67/4,872.49 = 3,083.13/x
  3. Step 3: Cross multiply
    3,272.67x = 4,872.49 × 3,083.13
  4. Step 4: Simplify right side
    3,272.67x = 15,022,512.39
  5. Step 5: Solve for x
    x = 15,022,512.39/3,272.67
  6. Step 6: Final answer
    x = 4,590.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.