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Finding the Fourth Proportional to 3,850.28, 5,313.28 and 2,171.68

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Solution

The fourth proportional to 3,850.28, 5,313.28 and 2,171.68 is: 2,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.28 : 5,313.28 = 2,171.68 : x
  2. Step 2: Convert to fraction form
    3,850.28/5,313.28 = 2,171.68/x
  3. Step 3: Cross multiply
    3,850.28x = 5,313.28 × 2,171.68
  4. Step 4: Simplify right side
    3,850.28x = 11,538,717.34
  5. Step 5: Solve for x
    x = 11,538,717.34/3,850.28
  6. Step 6: Final answer
    x = 2,996.85

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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.