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Finding the Fourth Proportional to 3,832.49, 5,741.99 and 2,731.16

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Solution

The fourth proportional to 3,832.49, 5,741.99 and 2,731.16 is: 4,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.49 : 5,741.99 = 2,731.16 : x
  2. Step 2: Convert to fraction form
    3,832.49/5,741.99 = 2,731.16/x
  3. Step 3: Cross multiply
    3,832.49x = 5,741.99 × 2,731.16
  4. Step 4: Simplify right side
    3,832.49x = 15,682,279.75
  5. Step 5: Solve for x
    x = 15,682,279.75/3,832.49
  6. Step 6: Final answer
    x = 4,091.93

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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.