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Finding the Fourth Proportional to 3,803.72, 5,249.22 and 2,231.96

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Solution

The fourth proportional to 3,803.72, 5,249.22 and 2,231.96 is: 3,080.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.72 : 5,249.22 = 2,231.96 : x
  2. Step 2: Convert to fraction form
    3,803.72/5,249.22 = 2,231.96/x
  3. Step 3: Cross multiply
    3,803.72x = 5,249.22 × 2,231.96
  4. Step 4: Simplify right side
    3,803.72x = 11,716,049.07
  5. Step 5: Solve for x
    x = 11,716,049.07/3,803.72
  6. Step 6: Final answer
    x = 3,080.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.