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Finding the Fourth Proportional to 3,801.28, 5,691.84 and 2,155.36

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Solution

The fourth proportional to 3,801.28, 5,691.84 and 2,155.36 is: 3,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.28 : 5,691.84 = 2,155.36 : x
  2. Step 2: Convert to fraction form
    3,801.28/5,691.84 = 2,155.36/x
  3. Step 3: Cross multiply
    3,801.28x = 5,691.84 × 2,155.36
  4. Step 4: Simplify right side
    3,801.28x = 12,267,964.26
  5. Step 5: Solve for x
    x = 12,267,964.26/3,801.28
  6. Step 6: Final answer
    x = 3,227.32

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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.