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Finding the Fourth Proportional to 3,834.98, 5,741.22 and 2,914.21

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Solution

The fourth proportional to 3,834.98, 5,741.22 and 2,914.21 is: 4,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.98 : 5,741.22 = 2,914.21 : x
  2. Step 2: Convert to fraction form
    3,834.98/5,741.22 = 2,914.21/x
  3. Step 3: Cross multiply
    3,834.98x = 5,741.22 × 2,914.21
  4. Step 4: Simplify right side
    3,834.98x = 16,731,092.03
  5. Step 5: Solve for x
    x = 16,731,092.03/3,834.98
  6. Step 6: Final answer
    x = 4,362.76

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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.