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Finding the Fourth Proportional to 5,874.91, 8,107.42 and 3,222.29

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Solution

The fourth proportional to 5,874.91, 8,107.42 and 3,222.29 is: 4,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.91 : 8,107.42 = 3,222.29 : x
  2. Step 2: Convert to fraction form
    5,874.91/8,107.42 = 3,222.29/x
  3. Step 3: Cross multiply
    5,874.91x = 8,107.42 × 3,222.29
  4. Step 4: Simplify right side
    5,874.91x = 26,124,458.39
  5. Step 5: Solve for x
    x = 26,124,458.39/5,874.91
  6. Step 6: Final answer
    x = 4,446.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.