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Finding the Fourth Proportional to 3,768.12, 5,200.02 and 2,112.12

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Solution

The fourth proportional to 3,768.12, 5,200.02 and 2,112.12 is: 2,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.12 : 5,200.02 = 2,112.12 : x
  2. Step 2: Convert to fraction form
    3,768.12/5,200.02 = 2,112.12/x
  3. Step 3: Cross multiply
    3,768.12x = 5,200.02 × 2,112.12
  4. Step 4: Simplify right side
    3,768.12x = 10,983,066.24
  5. Step 5: Solve for x
    x = 10,983,066.24/3,768.12
  6. Step 6: Final answer
    x = 2,914.73

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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.