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Finding the Fourth Proportional to 6,229.82, 8,597.68 and 3,435.86

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Solution

The fourth proportional to 6,229.82, 8,597.68 and 3,435.86 is: 4,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.82 : 8,597.68 = 3,435.86 : x
  2. Step 2: Convert to fraction form
    6,229.82/8,597.68 = 3,435.86/x
  3. Step 3: Cross multiply
    6,229.82x = 8,597.68 × 3,435.86
  4. Step 4: Simplify right side
    6,229.82x = 29,540,424.80
  5. Step 5: Solve for x
    x = 29,540,424.80/6,229.82
  6. Step 6: Final answer
    x = 4,741.78

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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.