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Finding the Fourth Proportional to 3,311.57, 4,572.09 and 2,194.38

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Solution

The fourth proportional to 3,311.57, 4,572.09 and 2,194.38 is: 3,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.57 : 4,572.09 = 2,194.38 : x
  2. Step 2: Convert to fraction form
    3,311.57/4,572.09 = 2,194.38/x
  3. Step 3: Cross multiply
    3,311.57x = 4,572.09 × 2,194.38
  4. Step 4: Simplify right side
    3,311.57x = 10,032,902.85
  5. Step 5: Solve for x
    x = 10,032,902.85/3,311.57
  6. Step 6: Final answer
    x = 3,029.66

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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.