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Finding the Fourth Proportional to 3,846.33, 5,770.31 and 1,381.05

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Solution

The fourth proportional to 3,846.33, 5,770.31 and 1,381.05 is: 2,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.33 : 5,770.31 = 1,381.05 : x
  2. Step 2: Convert to fraction form
    3,846.33/5,770.31 = 1,381.05/x
  3. Step 3: Cross multiply
    3,846.33x = 5,770.31 × 1,381.05
  4. Step 4: Simplify right side
    3,846.33x = 7,969,079.72
  5. Step 5: Solve for x
    x = 7,969,079.72/3,846.33
  6. Step 6: Final answer
    x = 2,071.87

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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.