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Finding the Fourth Proportional to 5,874.62, 8,107.16 and 3,222.23

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Solution

The fourth proportional to 5,874.62, 8,107.16 and 3,222.23 is: 4,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.62 : 8,107.16 = 3,222.23 : x
  2. Step 2: Convert to fraction form
    5,874.62/8,107.16 = 3,222.23/x
  3. Step 3: Cross multiply
    5,874.62x = 8,107.16 × 3,222.23
  4. Step 4: Simplify right side
    5,874.62x = 26,123,077.52
  5. Step 5: Solve for x
    x = 26,123,077.52/5,874.62
  6. Step 6: Final answer
    x = 4,446.77

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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.