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Finding the Fourth Proportional to 3,667.94, 5,063.50 and 2,324.22

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Solution

The fourth proportional to 3,667.94, 5,063.50 and 2,324.22 is: 3,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.94 : 5,063.50 = 2,324.22 : x
  2. Step 2: Convert to fraction form
    3,667.94/5,063.50 = 2,324.22/x
  3. Step 3: Cross multiply
    3,667.94x = 5,063.50 × 2,324.22
  4. Step 4: Simplify right side
    3,667.94x = 11,768,687.97
  5. Step 5: Solve for x
    x = 11,768,687.97/3,667.94
  6. Step 6: Final answer
    x = 3,208.53

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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.