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Finding the Fourth Proportional to 3,640.22, 5,019.81 and 2,974.94

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Solution

The fourth proportional to 3,640.22, 5,019.81 and 2,974.94 is: 4,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.22 : 5,019.81 = 2,974.94 : x
  2. Step 2: Convert to fraction form
    3,640.22/5,019.81 = 2,974.94/x
  3. Step 3: Cross multiply
    3,640.22x = 5,019.81 × 2,974.94
  4. Step 4: Simplify right side
    3,640.22x = 14,933,633.56
  5. Step 5: Solve for x
    x = 14,933,633.56/3,640.22
  6. Step 6: Final answer
    x = 4,102.40

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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.