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Finding the Fourth Proportional to 4,696.86, 6,481.92 and 2,601

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Solution

The fourth proportional to 4,696.86, 6,481.92 and 2,601 is: 3,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.86 : 6,481.92 = 2,601 : x
  2. Step 2: Convert to fraction form
    4,696.86/6,481.92 = 2,601/x
  3. Step 3: Cross multiply
    4,696.86x = 6,481.92 × 2,601
  4. Step 4: Simplify right side
    4,696.86x = 16,859,473.92
  5. Step 5: Solve for x
    x = 16,859,473.92/4,696.86
  6. Step 6: Final answer
    x = 3,589.52

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Why These Related Problems?

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