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Finding the Fourth Proportional to 6,238.24, 8,613.84 and 4,252.96

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Solution

The fourth proportional to 6,238.24, 8,613.84 and 4,252.96 is: 5,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.24 : 8,613.84 = 4,252.96 : x
  2. Step 2: Convert to fraction form
    6,238.24/8,613.84 = 4,252.96/x
  3. Step 3: Cross multiply
    6,238.24x = 8,613.84 × 4,252.96
  4. Step 4: Simplify right side
    6,238.24x = 36,634,316.97
  5. Step 5: Solve for x
    x = 36,634,316.97/6,238.24
  6. Step 6: Final answer
    x = 5,872.54

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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.