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Finding the Fourth Proportional to 3,964.80, 5,471.34 and 2,286.20

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Solution

The fourth proportional to 3,964.80, 5,471.34 and 2,286.20 is: 3,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.80 : 5,471.34 = 2,286.20 : x
  2. Step 2: Convert to fraction form
    3,964.80/5,471.34 = 2,286.20/x
  3. Step 3: Cross multiply
    3,964.80x = 5,471.34 × 2,286.20
  4. Step 4: Simplify right side
    3,964.80x = 12,508,577.51
  5. Step 5: Solve for x
    x = 12,508,577.51/3,964.80
  6. Step 6: Final answer
    x = 3,154.91

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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.