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Finding the Fourth Proportional to 3,964.66, 5,912.09 and 3,687.64

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Solution

The fourth proportional to 3,964.66, 5,912.09 and 3,687.64 is: 5,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.66 : 5,912.09 = 3,687.64 : x
  2. Step 2: Convert to fraction form
    3,964.66/5,912.09 = 3,687.64/x
  3. Step 3: Cross multiply
    3,964.66x = 5,912.09 × 3,687.64
  4. Step 4: Simplify right side
    3,964.66x = 21,801,659.57
  5. Step 5: Solve for x
    x = 21,801,659.57/3,964.66
  6. Step 6: Final answer
    x = 5,499.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.