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Finding the Fourth Proportional to 3,165.92, 4,367.14 and 1,906.10

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Solution

The fourth proportional to 3,165.92, 4,367.14 and 1,906.10 is: 2,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.92 : 4,367.14 = 1,906.10 : x
  2. Step 2: Convert to fraction form
    3,165.92/4,367.14 = 1,906.10/x
  3. Step 3: Cross multiply
    3,165.92x = 4,367.14 × 1,906.10
  4. Step 4: Simplify right side
    3,165.92x = 8,324,205.55
  5. Step 5: Solve for x
    x = 8,324,205.55/3,165.92
  6. Step 6: Final answer
    x = 2,629.32

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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.