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Finding the Fourth Proportional to 3,976.89, 5,964.12 and 1,895.80

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Solution

The fourth proportional to 3,976.89, 5,964.12 and 1,895.80 is: 2,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.89 : 5,964.12 = 1,895.80 : x
  2. Step 2: Convert to fraction form
    3,976.89/5,964.12 = 1,895.80/x
  3. Step 3: Cross multiply
    3,976.89x = 5,964.12 × 1,895.80
  4. Step 4: Simplify right side
    3,976.89x = 11,306,763.79
  5. Step 5: Solve for x
    x = 11,306,763.79/3,976.89
  6. Step 6: Final answer
    x = 2,843.12

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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.