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Finding the Fourth Proportional to 3,964.62, 5,471.31 and 2,196.36

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Solution

The fourth proportional to 3,964.62, 5,471.31 and 2,196.36 is: 3,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.62 : 5,471.31 = 2,196.36 : x
  2. Step 2: Convert to fraction form
    3,964.62/5,471.31 = 2,196.36/x
  3. Step 3: Cross multiply
    3,964.62x = 5,471.31 × 2,196.36
  4. Step 4: Simplify right side
    3,964.62x = 12,016,966.43
  5. Step 5: Solve for x
    x = 12,016,966.43/3,964.62
  6. Step 6: Final answer
    x = 3,031.05

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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.