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Finding the Fourth Proportional to 3,744.27, 5,617.62 and 1,796.63

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Solution

The fourth proportional to 3,744.27, 5,617.62 and 1,796.63 is: 2,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.27 : 5,617.62 = 1,796.63 : x
  2. Step 2: Convert to fraction form
    3,744.27/5,617.62 = 1,796.63/x
  3. Step 3: Cross multiply
    3,744.27x = 5,617.62 × 1,796.63
  4. Step 4: Simplify right side
    3,744.27x = 10,092,756.53
  5. Step 5: Solve for x
    x = 10,092,756.53/3,744.27
  6. Step 6: Final answer
    x = 2,695.52

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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.