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Finding the Fourth Proportional to 4,524.81, 6,791.34 and 3,147

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Solution

The fourth proportional to 4,524.81, 6,791.34 and 3,147 is: 4,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.81 : 6,791.34 = 3,147 : x
  2. Step 2: Convert to fraction form
    4,524.81/6,791.34 = 3,147/x
  3. Step 3: Cross multiply
    4,524.81x = 6,791.34 × 3,147
  4. Step 4: Simplify right side
    4,524.81x = 21,372,346.98
  5. Step 5: Solve for x
    x = 21,372,346.98/4,524.81
  6. Step 6: Final answer
    x = 4,723.37

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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.