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Finding the Fourth Proportional to 3,891.98, 5,371.31 and 2,213.46

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Solution

The fourth proportional to 3,891.98, 5,371.31 and 2,213.46 is: 3,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.98 : 5,371.31 = 2,213.46 : x
  2. Step 2: Convert to fraction form
    3,891.98/5,371.31 = 2,213.46/x
  3. Step 3: Cross multiply
    3,891.98x = 5,371.31 × 2,213.46
  4. Step 4: Simplify right side
    3,891.98x = 11,889,185.37
  5. Step 5: Solve for x
    x = 11,889,185.37/3,891.98
  6. Step 6: Final answer
    x = 3,054.79

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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.