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Finding the Fourth Proportional to 5,212.68, 7,194.06 and 2,974.56

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Solution

The fourth proportional to 5,212.68, 7,194.06 and 2,974.56 is: 4,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.68 : 7,194.06 = 2,974.56 : x
  2. Step 2: Convert to fraction form
    5,212.68/7,194.06 = 2,974.56/x
  3. Step 3: Cross multiply
    5,212.68x = 7,194.06 × 2,974.56
  4. Step 4: Simplify right side
    5,212.68x = 21,399,163.11
  5. Step 5: Solve for x
    x = 21,399,163.11/5,212.68
  6. Step 6: Final answer
    x = 4,105.21

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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.