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Finding the Fourth Proportional to 3,786.65, 5,680.21 and 1,189.59

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Solution

The fourth proportional to 3,786.65, 5,680.21 and 1,189.59 is: 1,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.65 : 5,680.21 = 1,189.59 : x
  2. Step 2: Convert to fraction form
    3,786.65/5,680.21 = 1,189.59/x
  3. Step 3: Cross multiply
    3,786.65x = 5,680.21 × 1,189.59
  4. Step 4: Simplify right side
    3,786.65x = 6,757,115.07
  5. Step 5: Solve for x
    x = 6,757,115.07/3,786.65
  6. Step 6: Final answer
    x = 1,784.46

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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.