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Finding the Fourth Proportional to 3,786.69, 5,680.08 and 1,189.63

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Solution

The fourth proportional to 3,786.69, 5,680.08 and 1,189.63 is: 1,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.69 : 5,680.08 = 1,189.63 : x
  2. Step 2: Convert to fraction form
    3,786.69/5,680.08 = 1,189.63/x
  3. Step 3: Cross multiply
    3,786.69x = 5,680.08 × 1,189.63
  4. Step 4: Simplify right side
    3,786.69x = 6,757,165.17
  5. Step 5: Solve for x
    x = 6,757,165.17/3,786.69
  6. Step 6: Final answer
    x = 1,784.45

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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.