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Finding the Fourth Proportional to 3,961.94, 5,462.99 and 2,964.02

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Solution

The fourth proportional to 3,961.94, 5,462.99 and 2,964.02 is: 4,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.94 : 5,462.99 = 2,964.02 : x
  2. Step 2: Convert to fraction form
    3,961.94/5,462.99 = 2,964.02/x
  3. Step 3: Cross multiply
    3,961.94x = 5,462.99 × 2,964.02
  4. Step 4: Simplify right side
    3,961.94x = 16,192,369.48
  5. Step 5: Solve for x
    x = 16,192,369.48/3,961.94
  6. Step 6: Final answer
    x = 4,086.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.