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Finding the Fourth Proportional to 3,471.44, 5,194.20 and 2,011.28

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Solution

The fourth proportional to 3,471.44, 5,194.20 and 2,011.28 is: 3,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.44 : 5,194.20 = 2,011.28 : x
  2. Step 2: Convert to fraction form
    3,471.44/5,194.20 = 2,011.28/x
  3. Step 3: Cross multiply
    3,471.44x = 5,194.20 × 2,011.28
  4. Step 4: Simplify right side
    3,471.44x = 10,446,990.58
  5. Step 5: Solve for x
    x = 10,446,990.58/3,471.44
  6. Step 6: Final answer
    x = 3,009.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.