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Finding the Fourth Proportional to 3,880.56, 5,355.17 and 2,112.17

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Solution

The fourth proportional to 3,880.56, 5,355.17 and 2,112.17 is: 2,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.56 : 5,355.17 = 2,112.17 : x
  2. Step 2: Convert to fraction form
    3,880.56/5,355.17 = 2,112.17/x
  3. Step 3: Cross multiply
    3,880.56x = 5,355.17 × 2,112.17
  4. Step 4: Simplify right side
    3,880.56x = 11,311,032.25
  5. Step 5: Solve for x
    x = 11,311,032.25/3,880.56
  6. Step 6: Final answer
    x = 2,914.80

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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.