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Finding the Fourth Proportional to 6,227.60, 8,589.69 and 4,234.77

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Solution

The fourth proportional to 6,227.60, 8,589.69 and 4,234.77 is: 5,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.60 : 8,589.69 = 4,234.77 : x
  2. Step 2: Convert to fraction form
    6,227.60/8,589.69 = 4,234.77/x
  3. Step 3: Cross multiply
    6,227.60x = 8,589.69 × 4,234.77
  4. Step 4: Simplify right side
    6,227.60x = 36,375,361.52
  5. Step 5: Solve for x
    x = 36,375,361.52/6,227.60
  6. Step 6: Final answer
    x = 5,841.00

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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.