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Finding the Fourth Proportional to 5,726.26, 8,589.14 and 3,227.40

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Solution

The fourth proportional to 5,726.26, 8,589.14 and 3,227.40 is: 4,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.26 : 8,589.14 = 3,227.40 : x
  2. Step 2: Convert to fraction form
    5,726.26/8,589.14 = 3,227.40/x
  3. Step 3: Cross multiply
    5,726.26x = 8,589.14 × 3,227.40
  4. Step 4: Simplify right side
    5,726.26x = 27,720,590.44
  5. Step 5: Solve for x
    x = 27,720,590.44/5,726.26
  6. Step 6: Final answer
    x = 4,840.96

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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.