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Finding the Fourth Proportional to 3,846.39, 5,769.86 and 1,381.23

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Solution

The fourth proportional to 3,846.39, 5,769.86 and 1,381.23 is: 2,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.39 : 5,769.86 = 1,381.23 : x
  2. Step 2: Convert to fraction form
    3,846.39/5,769.86 = 1,381.23/x
  3. Step 3: Cross multiply
    3,846.39x = 5,769.86 × 1,381.23
  4. Step 4: Simplify right side
    3,846.39x = 7,969,503.73
  5. Step 5: Solve for x
    x = 7,969,503.73/3,846.39
  6. Step 6: Final answer
    x = 2,071.94

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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.