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Finding the Fourth Proportional to 3,771.57, 5,204.91 and 2,279.21

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Solution

The fourth proportional to 3,771.57, 5,204.91 and 2,279.21 is: 3,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.57 : 5,204.91 = 2,279.21 : x
  2. Step 2: Convert to fraction form
    3,771.57/5,204.91 = 2,279.21/x
  3. Step 3: Cross multiply
    3,771.57x = 5,204.91 × 2,279.21
  4. Step 4: Simplify right side
    3,771.57x = 11,863,059.03
  5. Step 5: Solve for x
    x = 11,863,059.03/3,771.57
  6. Step 6: Final answer
    x = 3,145.39

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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.