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Finding the Fourth Proportional to 3,976.69, 5,965.04 and 1,240.69

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Solution

The fourth proportional to 3,976.69, 5,965.04 and 1,240.69 is: 1,861.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.69 : 5,965.04 = 1,240.69 : x
  2. Step 2: Convert to fraction form
    3,976.69/5,965.04 = 1,240.69/x
  3. Step 3: Cross multiply
    3,976.69x = 5,965.04 × 1,240.69
  4. Step 4: Simplify right side
    3,976.69x = 7,400,744.36
  5. Step 5: Solve for x
    x = 7,400,744.36/3,976.69
  6. Step 6: Final answer
    x = 1,861.03

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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.