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Finding the Fourth Proportional to 3,744.62, 5,616.98 and 1,796.37

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Solution

The fourth proportional to 3,744.62, 5,616.98 and 1,796.37 is: 2,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.62 : 5,616.98 = 1,796.37 : x
  2. Step 2: Convert to fraction form
    3,744.62/5,616.98 = 1,796.37/x
  3. Step 3: Cross multiply
    3,744.62x = 5,616.98 × 1,796.37
  4. Step 4: Simplify right side
    3,744.62x = 10,090,165.38
  5. Step 5: Solve for x
    x = 10,090,165.38/3,744.62
  6. Step 6: Final answer
    x = 2,694.58

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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.