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Finding the Fourth Proportional to 5,100.26, 7,651.48 and 2,022.26

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Solution

The fourth proportional to 5,100.26, 7,651.48 and 2,022.26 is: 3,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.26 : 7,651.48 = 2,022.26 : x
  2. Step 2: Convert to fraction form
    5,100.26/7,651.48 = 2,022.26/x
  3. Step 3: Cross multiply
    5,100.26x = 7,651.48 × 2,022.26
  4. Step 4: Simplify right side
    5,100.26x = 15,473,281.94
  5. Step 5: Solve for x
    x = 15,473,281.94/5,100.26
  6. Step 6: Final answer
    x = 3,033.82

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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.