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Finding the Fourth Proportional to 3,771, 5,662.98 and 3,427.56

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Solution

The fourth proportional to 3,771, 5,662.98 and 3,427.56 is: 5,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771 : 5,662.98 = 3,427.56 : x
  2. Step 2: Convert to fraction form
    3,771/5,662.98 = 3,427.56/x
  3. Step 3: Cross multiply
    3,771x = 5,662.98 × 3,427.56
  4. Step 4: Simplify right side
    3,771x = 19,410,203.73
  5. Step 5: Solve for x
    x = 19,410,203.73/3,771
  6. Step 6: Final answer
    x = 5,147.23

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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.