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Finding the Fourth Proportional to 5,072.69, 7,611.77 and 3,839.81

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Solution

The fourth proportional to 5,072.69, 7,611.77 and 3,839.81 is: 5,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.69 : 7,611.77 = 3,839.81 : x
  2. Step 2: Convert to fraction form
    5,072.69/7,611.77 = 3,839.81/x
  3. Step 3: Cross multiply
    5,072.69x = 7,611.77 × 3,839.81
  4. Step 4: Simplify right side
    5,072.69x = 29,227,722.10
  5. Step 5: Solve for x
    x = 29,227,722.10/5,072.69
  6. Step 6: Final answer
    x = 5,761.78

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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.