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Finding the Fourth Proportional to 3,974.50, 5,482.92 and 2,796.22

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Solution

The fourth proportional to 3,974.50, 5,482.92 and 2,796.22 is: 3,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.50 : 5,482.92 = 2,796.22 : x
  2. Step 2: Convert to fraction form
    3,974.50/5,482.92 = 2,796.22/x
  3. Step 3: Cross multiply
    3,974.50x = 5,482.92 × 2,796.22
  4. Step 4: Simplify right side
    3,974.50x = 15,331,450.56
  5. Step 5: Solve for x
    x = 15,331,450.56/3,974.50
  6. Step 6: Final answer
    x = 3,857.45

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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.