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Finding the Fourth Proportional to 3,644.62, 5,467.98 and 1,796.28

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Solution

The fourth proportional to 3,644.62, 5,467.98 and 1,796.28 is: 2,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.62 : 5,467.98 = 1,796.28 : x
  2. Step 2: Convert to fraction form
    3,644.62/5,467.98 = 1,796.28/x
  3. Step 3: Cross multiply
    3,644.62x = 5,467.98 × 1,796.28
  4. Step 4: Simplify right side
    3,644.62x = 9,822,023.11
  5. Step 5: Solve for x
    x = 9,822,023.11/3,644.62
  6. Step 6: Final answer
    x = 2,694.94

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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.