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Finding the Fourth Proportional to 4,192.36, 5,791.22 and 3,897.16

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Solution

The fourth proportional to 4,192.36, 5,791.22 and 3,897.16 is: 5,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.36 : 5,791.22 = 3,897.16 : x
  2. Step 2: Convert to fraction form
    4,192.36/5,791.22 = 3,897.16/x
  3. Step 3: Cross multiply
    4,192.36x = 5,791.22 × 3,897.16
  4. Step 4: Simplify right side
    4,192.36x = 22,569,310.94
  5. Step 5: Solve for x
    x = 22,569,310.94/4,192.36
  6. Step 6: Final answer
    x = 5,383.44

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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.