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Finding the Fourth Proportional to 3,861.50, 5,791.62 and 1,228.66

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Solution

The fourth proportional to 3,861.50, 5,791.62 and 1,228.66 is: 1,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.50 : 5,791.62 = 1,228.66 : x
  2. Step 2: Convert to fraction form
    3,861.50/5,791.62 = 1,228.66/x
  3. Step 3: Cross multiply
    3,861.50x = 5,791.62 × 1,228.66
  4. Step 4: Simplify right side
    3,861.50x = 7,115,917.35
  5. Step 5: Solve for x
    x = 7,115,917.35/3,861.50
  6. Step 6: Final answer
    x = 1,842.79

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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.