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Finding the Fourth Proportional to 3,880.57, 5,355.21 and 2,112.20

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Solution

The fourth proportional to 3,880.57, 5,355.21 and 2,112.20 is: 2,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.57 : 5,355.21 = 2,112.20 : x
  2. Step 2: Convert to fraction form
    3,880.57/5,355.21 = 2,112.20/x
  3. Step 3: Cross multiply
    3,880.57x = 5,355.21 × 2,112.20
  4. Step 4: Simplify right side
    3,880.57x = 11,311,274.56
  5. Step 5: Solve for x
    x = 11,311,274.56/3,880.57
  6. Step 6: Final answer
    x = 2,914.85

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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.