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Finding the Fourth Proportional to 3,969.50, 5,477.91 and 2,201.38

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Solution

The fourth proportional to 3,969.50, 5,477.91 and 2,201.38 is: 3,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.50 : 5,477.91 = 2,201.38 : x
  2. Step 2: Convert to fraction form
    3,969.50/5,477.91 = 2,201.38/x
  3. Step 3: Cross multiply
    3,969.50x = 5,477.91 × 2,201.38
  4. Step 4: Simplify right side
    3,969.50x = 12,058,961.52
  5. Step 5: Solve for x
    x = 12,058,961.52/3,969.50
  6. Step 6: Final answer
    x = 3,037.90

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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.