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Finding the Fourth Proportional to 5,324.40, 7,991.94 and 2,206.24

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Solution

The fourth proportional to 5,324.40, 7,991.94 and 2,206.24 is: 3,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.40 : 7,991.94 = 2,206.24 : x
  2. Step 2: Convert to fraction form
    5,324.40/7,991.94 = 2,206.24/x
  3. Step 3: Cross multiply
    5,324.40x = 7,991.94 × 2,206.24
  4. Step 4: Simplify right side
    5,324.40x = 17,632,147.70
  5. Step 5: Solve for x
    x = 17,632,147.70/5,324.40
  6. Step 6: Final answer
    x = 3,311.57

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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.