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Finding the Fourth Proportional to 3,880.38, 5,354.50 and 2,201.25

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Solution

The fourth proportional to 3,880.38, 5,354.50 and 2,201.25 is: 3,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.38 : 5,354.50 = 2,201.25 : x
  2. Step 2: Convert to fraction form
    3,880.38/5,354.50 = 2,201.25/x
  3. Step 3: Cross multiply
    3,880.38x = 5,354.50 × 2,201.25
  4. Step 4: Simplify right side
    3,880.38x = 11,786,593.13
  5. Step 5: Solve for x
    x = 11,786,593.13/3,880.38
  6. Step 6: Final answer
    x = 3,037.48

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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.