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Finding the Fourth Proportional to 3,880.51, 5,355.22 and 2,112.23

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Solution

The fourth proportional to 3,880.51, 5,355.22 and 2,112.23 is: 2,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.51 : 5,355.22 = 2,112.23 : x
  2. Step 2: Convert to fraction form
    3,880.51/5,355.22 = 2,112.23/x
  3. Step 3: Cross multiply
    3,880.51x = 5,355.22 × 2,112.23
  4. Step 4: Simplify right side
    3,880.51x = 11,311,456.34
  5. Step 5: Solve for x
    x = 11,311,456.34/3,880.51
  6. Step 6: Final answer
    x = 2,914.94

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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.