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Finding the Fourth Proportional to 3,768.90, 5,200.80 and 2,153.97

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Solution

The fourth proportional to 3,768.90, 5,200.80 and 2,153.97 is: 2,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.90 : 5,200.80 = 2,153.97 : x
  2. Step 2: Convert to fraction form
    3,768.90/5,200.80 = 2,153.97/x
  3. Step 3: Cross multiply
    3,768.90x = 5,200.80 × 2,153.97
  4. Step 4: Simplify right side
    3,768.90x = 11,202,367.18
  5. Step 5: Solve for x
    x = 11,202,367.18/3,768.90
  6. Step 6: Final answer
    x = 2,972.32

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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.