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Finding the Fourth Proportional to 3,964.44, 5,471.24 and 2,196.21

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Solution

The fourth proportional to 3,964.44, 5,471.24 and 2,196.21 is: 3,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.44 : 5,471.24 = 2,196.21 : x
  2. Step 2: Convert to fraction form
    3,964.44/5,471.24 = 2,196.21/x
  3. Step 3: Cross multiply
    3,964.44x = 5,471.24 × 2,196.21
  4. Step 4: Simplify right side
    3,964.44x = 12,015,981.02
  5. Step 5: Solve for x
    x = 12,015,981.02/3,964.44
  6. Step 6: Final answer
    x = 3,030.94

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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.