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Finding the Fourth Proportional to 5,213.37, 7,195.14 and 2,974.73

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Solution

The fourth proportional to 5,213.37, 7,195.14 and 2,974.73 is: 4,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.37 : 7,195.14 = 2,974.73 : x
  2. Step 2: Convert to fraction form
    5,213.37/7,195.14 = 2,974.73/x
  3. Step 3: Cross multiply
    5,213.37x = 7,195.14 × 2,974.73
  4. Step 4: Simplify right side
    5,213.37x = 21,403,616.80
  5. Step 5: Solve for x
    x = 21,403,616.80/5,213.37
  6. Step 6: Final answer
    x = 4,105.52

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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.