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Finding the Fourth Proportional to 3,136.83, 4,704.73 and 1,163.39

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Solution

The fourth proportional to 3,136.83, 4,704.73 and 1,163.39 is: 1,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.83 : 4,704.73 = 1,163.39 : x
  2. Step 2: Convert to fraction form
    3,136.83/4,704.73 = 1,163.39/x
  3. Step 3: Cross multiply
    3,136.83x = 4,704.73 × 1,163.39
  4. Step 4: Simplify right side
    3,136.83x = 5,473,435.83
  5. Step 5: Solve for x
    x = 5,473,435.83/3,136.83
  6. Step 6: Final answer
    x = 1,744.89

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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.