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Finding the Fourth Proportional to 3,796.39, 5,238.03 and 2,223.64

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Solution

The fourth proportional to 3,796.39, 5,238.03 and 2,223.64 is: 3,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.39 : 5,238.03 = 2,223.64 : x
  2. Step 2: Convert to fraction form
    3,796.39/5,238.03 = 2,223.64/x
  3. Step 3: Cross multiply
    3,796.39x = 5,238.03 × 2,223.64
  4. Step 4: Simplify right side
    3,796.39x = 11,647,493.03
  5. Step 5: Solve for x
    x = 11,647,493.03/3,796.39
  6. Step 6: Final answer
    x = 3,068.04

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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.