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Finding the Fourth Proportional to 3,964.46, 5,471.28 and 2,196.23

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Solution

The fourth proportional to 3,964.46, 5,471.28 and 2,196.23 is: 3,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.46 : 5,471.28 = 2,196.23 : x
  2. Step 2: Convert to fraction form
    3,964.46/5,471.28 = 2,196.23/x
  3. Step 3: Cross multiply
    3,964.46x = 5,471.28 × 2,196.23
  4. Step 4: Simplify right side
    3,964.46x = 12,016,161.92
  5. Step 5: Solve for x
    x = 12,016,161.92/3,964.46
  6. Step 6: Final answer
    x = 3,030.97

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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.