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Finding the Fourth Proportional to 5,874.26, 8,107.00 and 3,222.19

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Solution

The fourth proportional to 5,874.26, 8,107.00 and 3,222.19 is: 4,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.26 : 8,107.00 = 3,222.19 : x
  2. Step 2: Convert to fraction form
    5,874.26/8,107.00 = 3,222.19/x
  3. Step 3: Cross multiply
    5,874.26x = 8,107.00 × 3,222.19
  4. Step 4: Simplify right side
    5,874.26x = 26,122,291.73
  5. Step 5: Solve for x
    x = 26,122,291.73/5,874.26
  6. Step 6: Final answer
    x = 4,446.91

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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.