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Finding the Fourth Proportional to 3,846.44, 5,767.83 and 1,995.70

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Solution

The fourth proportional to 3,846.44, 5,767.83 and 1,995.70 is: 2,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.44 : 5,767.83 = 1,995.70 : x
  2. Step 2: Convert to fraction form
    3,846.44/5,767.83 = 1,995.70/x
  3. Step 3: Cross multiply
    3,846.44x = 5,767.83 × 1,995.70
  4. Step 4: Simplify right side
    3,846.44x = 11,510,858.33
  5. Step 5: Solve for x
    x = 11,510,858.33/3,846.44
  6. Step 6: Final answer
    x = 2,992.60

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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.