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Finding the Fourth Proportional to 3,744.13, 5,611.71 and 1,661.78

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Solution

The fourth proportional to 3,744.13, 5,611.71 and 1,661.78 is: 2,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.13 : 5,611.71 = 1,661.78 : x
  2. Step 2: Convert to fraction form
    3,744.13/5,611.71 = 1,661.78/x
  3. Step 3: Cross multiply
    3,744.13x = 5,611.71 × 1,661.78
  4. Step 4: Simplify right side
    3,744.13x = 9,325,427.44
  5. Step 5: Solve for x
    x = 9,325,427.44/3,744.13
  6. Step 6: Final answer
    x = 2,490.68

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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.