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Finding the Fourth Proportional to 3,290.49, 4,542.12 and 2,233.73

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Solution

The fourth proportional to 3,290.49, 4,542.12 and 2,233.73 is: 3,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.49 : 4,542.12 = 2,233.73 : x
  2. Step 2: Convert to fraction form
    3,290.49/4,542.12 = 2,233.73/x
  3. Step 3: Cross multiply
    3,290.49x = 4,542.12 × 2,233.73
  4. Step 4: Simplify right side
    3,290.49x = 10,145,853.94
  5. Step 5: Solve for x
    x = 10,145,853.94/3,290.49
  6. Step 6: Final answer
    x = 3,083.38

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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.