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Finding the Fourth Proportional to 3,786.64, 5,680.14 and 1,189.78

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Solution

The fourth proportional to 3,786.64, 5,680.14 and 1,189.78 is: 1,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.64 : 5,680.14 = 1,189.78 : x
  2. Step 2: Convert to fraction form
    3,786.64/5,680.14 = 1,189.78/x
  3. Step 3: Cross multiply
    3,786.64x = 5,680.14 × 1,189.78
  4. Step 4: Simplify right side
    3,786.64x = 6,758,116.97
  5. Step 5: Solve for x
    x = 6,758,116.97/3,786.64
  6. Step 6: Final answer
    x = 1,784.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.