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Finding the Fourth Proportional to 3,803.69, 5,250.36 and 2,231.75

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Solution

The fourth proportional to 3,803.69, 5,250.36 and 2,231.75 is: 3,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.69 : 5,250.36 = 2,231.75 : x
  2. Step 2: Convert to fraction form
    3,803.69/5,250.36 = 2,231.75/x
  3. Step 3: Cross multiply
    3,803.69x = 5,250.36 × 2,231.75
  4. Step 4: Simplify right side
    3,803.69x = 11,717,490.93
  5. Step 5: Solve for x
    x = 11,717,490.93/3,803.69
  6. Step 6: Final answer
    x = 3,080.56

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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.