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Finding the Fourth Proportional to 3,674.21, 5,069.81 and 2,257.44

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Solution

The fourth proportional to 3,674.21, 5,069.81 and 2,257.44 is: 3,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.21 : 5,069.81 = 2,257.44 : x
  2. Step 2: Convert to fraction form
    3,674.21/5,069.81 = 2,257.44/x
  3. Step 3: Cross multiply
    3,674.21x = 5,069.81 × 2,257.44
  4. Step 4: Simplify right side
    3,674.21x = 11,444,766.54
  5. Step 5: Solve for x
    x = 11,444,766.54/3,674.21
  6. Step 6: Final answer
    x = 3,114.90

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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.