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Finding the Fourth Proportional to 3,846.08, 5,767.07 and 1,992.60

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Solution

The fourth proportional to 3,846.08, 5,767.07 and 1,992.60 is: 2,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.08 : 5,767.07 = 1,992.60 : x
  2. Step 2: Convert to fraction form
    3,846.08/5,767.07 = 1,992.60/x
  3. Step 3: Cross multiply
    3,846.08x = 5,767.07 × 1,992.60
  4. Step 4: Simplify right side
    3,846.08x = 11,491,463.68
  5. Step 5: Solve for x
    x = 11,491,463.68/3,846.08
  6. Step 6: Final answer
    x = 2,987.84

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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.