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Finding the Fourth Proportional to 5,874.71, 8,107.29 and 3,222.09

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Solution

The fourth proportional to 5,874.71, 8,107.29 and 3,222.09 is: 4,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.71 : 8,107.29 = 3,222.09 : x
  2. Step 2: Convert to fraction form
    5,874.71/8,107.29 = 3,222.09/x
  3. Step 3: Cross multiply
    5,874.71x = 8,107.29 × 3,222.09
  4. Step 4: Simplify right side
    5,874.71x = 26,122,418.04
  5. Step 5: Solve for x
    x = 26,122,418.04/5,874.71
  6. Step 6: Final answer
    x = 4,446.59

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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.