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Finding the Fourth Proportional to 4,135.66, 6,197 and 3,516.82

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Solution

The fourth proportional to 4,135.66, 6,197 and 3,516.82 is: 5,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.66 : 6,197 = 3,516.82 : x
  2. Step 2: Convert to fraction form
    4,135.66/6,197 = 3,516.82/x
  3. Step 3: Cross multiply
    4,135.66x = 6,197 × 3,516.82
  4. Step 4: Simplify right side
    4,135.66x = 21,793,733.54
  5. Step 5: Solve for x
    x = 21,793,733.54/4,135.66
  6. Step 6: Final answer
    x = 5,269.71

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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.