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Finding the Fourth Proportional to 3,791.92, 5,680.32 and 1,838.20

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Solution

The fourth proportional to 3,791.92, 5,680.32 and 1,838.20 is: 2,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.92 : 5,680.32 = 1,838.20 : x
  2. Step 2: Convert to fraction form
    3,791.92/5,680.32 = 1,838.20/x
  3. Step 3: Cross multiply
    3,791.92x = 5,680.32 × 1,838.20
  4. Step 4: Simplify right side
    3,791.92x = 10,441,564.22
  5. Step 5: Solve for x
    x = 10,441,564.22/3,791.92
  6. Step 6: Final answer
    x = 2,753.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.