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Finding the Fourth Proportional to 3,811, 5,718.32 and 2,079.62

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Solution

The fourth proportional to 3,811, 5,718.32 and 2,079.62 is: 3,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811 : 5,718.32 = 2,079.62 : x
  2. Step 2: Convert to fraction form
    3,811/5,718.32 = 2,079.62/x
  3. Step 3: Cross multiply
    3,811x = 5,718.32 × 2,079.62
  4. Step 4: Simplify right side
    3,811x = 11,891,932.64
  5. Step 5: Solve for x
    x = 11,891,932.64/3,811
  6. Step 6: Final answer
    x = 3,120.42

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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.