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Finding the Fourth Proportional to 5,412.26, 8,121.99 and 1,902.26

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Solution

The fourth proportional to 5,412.26, 8,121.99 and 1,902.26 is: 2,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.26 : 8,121.99 = 1,902.26 : x
  2. Step 2: Convert to fraction form
    5,412.26/8,121.99 = 1,902.26/x
  3. Step 3: Cross multiply
    5,412.26x = 8,121.99 × 1,902.26
  4. Step 4: Simplify right side
    5,412.26x = 15,450,136.70
  5. Step 5: Solve for x
    x = 15,450,136.70/5,412.26
  6. Step 6: Final answer
    x = 2,854.66

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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.