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Finding the Fourth Proportional to 3,891.41, 5,833.59 and 2,642.42

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Solution

The fourth proportional to 3,891.41, 5,833.59 and 2,642.42 is: 3,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.41 : 5,833.59 = 2,642.42 : x
  2. Step 2: Convert to fraction form
    3,891.41/5,833.59 = 2,642.42/x
  3. Step 3: Cross multiply
    3,891.41x = 5,833.59 × 2,642.42
  4. Step 4: Simplify right side
    3,891.41x = 15,414,765.72
  5. Step 5: Solve for x
    x = 15,414,765.72/3,891.41
  6. Step 6: Final answer
    x = 3,961.23

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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.