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Finding the Fourth Proportional to 3,961.09, 5,942.31 and 1,987.66

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Solution

The fourth proportional to 3,961.09, 5,942.31 and 1,987.66 is: 2,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.09 : 5,942.31 = 1,987.66 : x
  2. Step 2: Convert to fraction form
    3,961.09/5,942.31 = 1,987.66/x
  3. Step 3: Cross multiply
    3,961.09x = 5,942.31 × 1,987.66
  4. Step 4: Simplify right side
    3,961.09x = 11,811,291.89
  5. Step 5: Solve for x
    x = 11,811,291.89/3,961.09
  6. Step 6: Final answer
    x = 2,981.83

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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.