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Finding the Fourth Proportional to 3,776.38, 5,665.65 and 1,179.52

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Solution

The fourth proportional to 3,776.38, 5,665.65 and 1,179.52 is: 1,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.38 : 5,665.65 = 1,179.52 : x
  2. Step 2: Convert to fraction form
    3,776.38/5,665.65 = 1,179.52/x
  3. Step 3: Cross multiply
    3,776.38x = 5,665.65 × 1,179.52
  4. Step 4: Simplify right side
    3,776.38x = 6,682,747.49
  5. Step 5: Solve for x
    x = 6,682,747.49/3,776.38
  6. Step 6: Final answer
    x = 1,769.62

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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.