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Finding the Fourth Proportional to 5,726.87, 8,589.69 and 2,796.29

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Solution

The fourth proportional to 5,726.87, 8,589.69 and 2,796.29 is: 4,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.87 : 8,589.69 = 2,796.29 : x
  2. Step 2: Convert to fraction form
    5,726.87/8,589.69 = 2,796.29/x
  3. Step 3: Cross multiply
    5,726.87x = 8,589.69 × 2,796.29
  4. Step 4: Simplify right side
    5,726.87x = 24,019,264.25
  5. Step 5: Solve for x
    x = 24,019,264.25/5,726.87
  6. Step 6: Final answer
    x = 4,194.13

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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.