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Finding the Fourth Proportional to 5,279, 7,914.72 and 1,991.84

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Solution

The fourth proportional to 5,279, 7,914.72 and 1,991.84 is: 2,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279 : 7,914.72 = 1,991.84 : x
  2. Step 2: Convert to fraction form
    5,279/7,914.72 = 1,991.84/x
  3. Step 3: Cross multiply
    5,279x = 7,914.72 × 1,991.84
  4. Step 4: Simplify right side
    5,279x = 15,764,855.88
  5. Step 5: Solve for x
    x = 15,764,855.88/5,279
  6. Step 6: Final answer
    x = 2,986.33

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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.