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Finding the Fourth Proportional to 3,839.72, 5,760.38 and 1,891.67

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Solution

The fourth proportional to 3,839.72, 5,760.38 and 1,891.67 is: 2,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.72 : 5,760.38 = 1,891.67 : x
  2. Step 2: Convert to fraction form
    3,839.72/5,760.38 = 1,891.67/x
  3. Step 3: Cross multiply
    3,839.72x = 5,760.38 × 1,891.67
  4. Step 4: Simplify right side
    3,839.72x = 10,896,713.96
  5. Step 5: Solve for x
    x = 10,896,713.96/3,839.72
  6. Step 6: Final answer
    x = 2,837.90

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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.