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Finding the Fourth Proportional to 3,786.39, 5,680.48 and 1,189.33

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Solution

The fourth proportional to 3,786.39, 5,680.48 and 1,189.33 is: 1,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.39 : 5,680.48 = 1,189.33 : x
  2. Step 2: Convert to fraction form
    3,786.39/5,680.48 = 1,189.33/x
  3. Step 3: Cross multiply
    3,786.39x = 5,680.48 × 1,189.33
  4. Step 4: Simplify right side
    3,786.39x = 6,755,940.80
  5. Step 5: Solve for x
    x = 6,755,940.80/3,786.39
  6. Step 6: Final answer
    x = 1,784.27

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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.