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Finding the Fourth Proportional to 3,027.70, 4,553.70 and 2,711.80

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Solution

The fourth proportional to 3,027.70, 4,553.70 and 2,711.80 is: 4,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.70 : 4,553.70 = 2,711.80 : x
  2. Step 2: Convert to fraction form
    3,027.70/4,553.70 = 2,711.80/x
  3. Step 3: Cross multiply
    3,027.70x = 4,553.70 × 2,711.80
  4. Step 4: Simplify right side
    3,027.70x = 12,348,723.66
  5. Step 5: Solve for x
    x = 12,348,723.66/3,027.70
  6. Step 6: Final answer
    x = 4,078.58

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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.