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Finding the Fourth Proportional to 3,431.91, 5,147.87 and 1,092.27

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Solution

The fourth proportional to 3,431.91, 5,147.87 and 1,092.27 is: 1,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.91 : 5,147.87 = 1,092.27 : x
  2. Step 2: Convert to fraction form
    3,431.91/5,147.87 = 1,092.27/x
  3. Step 3: Cross multiply
    3,431.91x = 5,147.87 × 1,092.27
  4. Step 4: Simplify right side
    3,431.91x = 5,622,858.50
  5. Step 5: Solve for x
    x = 5,622,858.50/3,431.91
  6. Step 6: Final answer
    x = 1,638.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.