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Finding the Fourth Proportional to 5,906.92, 8,857.62 and 3,442.36

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Solution

The fourth proportional to 5,906.92, 8,857.62 and 3,442.36 is: 5,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.92 : 8,857.62 = 3,442.36 : x
  2. Step 2: Convert to fraction form
    5,906.92/8,857.62 = 3,442.36/x
  3. Step 3: Cross multiply
    5,906.92x = 8,857.62 × 3,442.36
  4. Step 4: Simplify right side
    5,906.92x = 30,491,116.78
  5. Step 5: Solve for x
    x = 30,491,116.78/5,906.92
  6. Step 6: Final answer
    x = 5,161.93

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