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Finding the Fourth Proportional to 3,850.47, 5,313.81 and 2,171.94

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Solution

The fourth proportional to 3,850.47, 5,313.81 and 2,171.94 is: 2,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.47 : 5,313.81 = 2,171.94 : x
  2. Step 2: Convert to fraction form
    3,850.47/5,313.81 = 2,171.94/x
  3. Step 3: Cross multiply
    3,850.47x = 5,313.81 × 2,171.94
  4. Step 4: Simplify right side
    3,850.47x = 11,541,276.49
  5. Step 5: Solve for x
    x = 11,541,276.49/3,850.47
  6. Step 6: Final answer
    x = 2,997.37

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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.