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Finding the Fourth Proportional to 5,171.70, 7,136.58 and 2,813.82

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Solution

The fourth proportional to 5,171.70, 7,136.58 and 2,813.82 is: 3,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.70 : 7,136.58 = 2,813.82 : x
  2. Step 2: Convert to fraction form
    5,171.70/7,136.58 = 2,813.82/x
  3. Step 3: Cross multiply
    5,171.70x = 7,136.58 × 2,813.82
  4. Step 4: Simplify right side
    5,171.70x = 20,081,051.54
  5. Step 5: Solve for x
    x = 20,081,051.54/5,171.70
  6. Step 6: Final answer
    x = 3,882.87

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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.