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Finding the Fourth Proportional to 5,874.92, 8,107.40 and 3,222.44

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Solution

The fourth proportional to 5,874.92, 8,107.40 and 3,222.44 is: 4,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.92 : 8,107.40 = 3,222.44 : x
  2. Step 2: Convert to fraction form
    5,874.92/8,107.40 = 3,222.44/x
  3. Step 3: Cross multiply
    5,874.92x = 8,107.40 × 3,222.44
  4. Step 4: Simplify right side
    5,874.92x = 26,125,610.06
  5. Step 5: Solve for x
    x = 26,125,610.06/5,874.92
  6. Step 6: Final answer
    x = 4,446.97

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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.