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Finding the Fourth Proportional to 3,976.84, 5,965.26 and 1,379.80

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Solution

The fourth proportional to 3,976.84, 5,965.26 and 1,379.80 is: 2,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.84 : 5,965.26 = 1,379.80 : x
  2. Step 2: Convert to fraction form
    3,976.84/5,965.26 = 1,379.80/x
  3. Step 3: Cross multiply
    3,976.84x = 5,965.26 × 1,379.80
  4. Step 4: Simplify right side
    3,976.84x = 8,230,829.02
  5. Step 5: Solve for x
    x = 8,230,829.02/3,976.84
  6. Step 6: Final answer
    x = 2,069.69

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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.