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Finding the Fourth Proportional to 5,251.37, 7,874.82 and 1,967.09

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Solution

The fourth proportional to 5,251.37, 7,874.82 and 1,967.09 is: 2,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.37 : 7,874.82 = 1,967.09 : x
  2. Step 2: Convert to fraction form
    5,251.37/7,874.82 = 1,967.09/x
  3. Step 3: Cross multiply
    5,251.37x = 7,874.82 × 1,967.09
  4. Step 4: Simplify right side
    5,251.37x = 15,490,440.30
  5. Step 5: Solve for x
    x = 15,490,440.30/5,251.37
  6. Step 6: Final answer
    x = 2,949.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.