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Finding the Fourth Proportional to 3,781.64, 5,660.33 and 2,022.25

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Solution

The fourth proportional to 3,781.64, 5,660.33 and 2,022.25 is: 3,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.64 : 5,660.33 = 2,022.25 : x
  2. Step 2: Convert to fraction form
    3,781.64/5,660.33 = 2,022.25/x
  3. Step 3: Cross multiply
    3,781.64x = 5,660.33 × 2,022.25
  4. Step 4: Simplify right side
    3,781.64x = 11,446,578.08
  5. Step 5: Solve for x
    x = 11,446,578.08/3,781.64
  6. Step 6: Final answer
    x = 3,026.88

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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.