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Finding the Fourth Proportional to 3,236.75, 4,855.71 and 2,142.02

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Solution

The fourth proportional to 3,236.75, 4,855.71 and 2,142.02 is: 3,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.75 : 4,855.71 = 2,142.02 : x
  2. Step 2: Convert to fraction form
    3,236.75/4,855.71 = 2,142.02/x
  3. Step 3: Cross multiply
    3,236.75x = 4,855.71 × 2,142.02
  4. Step 4: Simplify right side
    3,236.75x = 10,401,027.93
  5. Step 5: Solve for x
    x = 10,401,027.93/3,236.75
  6. Step 6: Final answer
    x = 3,213.42

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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.