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Finding the Fourth Proportional to 6,229.26, 8,589.80 and 4,813.20

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Solution

The fourth proportional to 6,229.26, 8,589.80 and 4,813.20 is: 6,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.26 : 8,589.80 = 4,813.20 : x
  2. Step 2: Convert to fraction form
    6,229.26/8,589.80 = 4,813.20/x
  3. Step 3: Cross multiply
    6,229.26x = 8,589.80 × 4,813.20
  4. Step 4: Simplify right side
    6,229.26x = 41,344,425.36
  5. Step 5: Solve for x
    x = 41,344,425.36/6,229.26
  6. Step 6: Final answer
    x = 6,637.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.