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Finding the Fourth Proportional to 3,976.42, 5,965.44 and 1,379.38

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Solution

The fourth proportional to 3,976.42, 5,965.44 and 1,379.38 is: 2,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.42 : 5,965.44 = 1,379.38 : x
  2. Step 2: Convert to fraction form
    3,976.42/5,965.44 = 1,379.38/x
  3. Step 3: Cross multiply
    3,976.42x = 5,965.44 × 1,379.38
  4. Step 4: Simplify right side
    3,976.42x = 8,228,608.63
  5. Step 5: Solve for x
    x = 8,228,608.63/3,976.42
  6. Step 6: Final answer
    x = 2,069.35

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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.