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Finding the Fourth Proportional to 5,171.69, 7,136.93 and 2,813.82

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Solution

The fourth proportional to 5,171.69, 7,136.93 and 2,813.82 is: 3,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.69 : 7,136.93 = 2,813.82 : x
  2. Step 2: Convert to fraction form
    5,171.69/7,136.93 = 2,813.82/x
  3. Step 3: Cross multiply
    5,171.69x = 7,136.93 × 2,813.82
  4. Step 4: Simplify right side
    5,171.69x = 20,082,022.30
  5. Step 5: Solve for x
    x = 20,082,022.30/5,171.69
  6. Step 6: Final answer
    x = 3,883.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.