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Finding the Fourth Proportional to 4,696.80, 6,481.68 and 2,601.20

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Solution

The fourth proportional to 4,696.80, 6,481.68 and 2,601.20 is: 3,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.80 : 6,481.68 = 2,601.20 : x
  2. Step 2: Convert to fraction form
    4,696.80/6,481.68 = 2,601.20/x
  3. Step 3: Cross multiply
    4,696.80x = 6,481.68 × 2,601.20
  4. Step 4: Simplify right side
    4,696.80x = 16,860,146.02
  5. Step 5: Solve for x
    x = 16,860,146.02/4,696.80
  6. Step 6: Final answer
    x = 3,589.71

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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.