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Finding the Fourth Proportional to 5,471.97, 8,214.10 and 2,187.37

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Solution

The fourth proportional to 5,471.97, 8,214.10 and 2,187.37 is: 3,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.97 : 8,214.10 = 2,187.37 : x
  2. Step 2: Convert to fraction form
    5,471.97/8,214.10 = 2,187.37/x
  3. Step 3: Cross multiply
    5,471.97x = 8,214.10 × 2,187.37
  4. Step 4: Simplify right side
    5,471.97x = 17,967,234.85
  5. Step 5: Solve for x
    x = 17,967,234.85/5,471.97
  6. Step 6: Final answer
    x = 3,283.51

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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.