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Finding the Fourth Proportional to 5,153.96, 7,729.96 and 2,191.85

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Solution

The fourth proportional to 5,153.96, 7,729.96 and 2,191.85 is: 3,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.96 : 7,729.96 = 2,191.85 : x
  2. Step 2: Convert to fraction form
    5,153.96/7,729.96 = 2,191.85/x
  3. Step 3: Cross multiply
    5,153.96x = 7,729.96 × 2,191.85
  4. Step 4: Simplify right side
    5,153.96x = 16,942,912.83
  5. Step 5: Solve for x
    x = 16,942,912.83/5,153.96
  6. Step 6: Final answer
    x = 3,287.36

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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.