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Finding the Fourth Proportional to 3,817.26, 5,726.49 and 1,626

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Solution

The fourth proportional to 3,817.26, 5,726.49 and 1,626 is: 2,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.26 : 5,726.49 = 1,626 : x
  2. Step 2: Convert to fraction form
    3,817.26/5,726.49 = 1,626/x
  3. Step 3: Cross multiply
    3,817.26x = 5,726.49 × 1,626
  4. Step 4: Simplify right side
    3,817.26x = 9,311,272.74
  5. Step 5: Solve for x
    x = 9,311,272.74/3,817.26
  6. Step 6: Final answer
    x = 2,439.26

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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.