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Finding the Fourth Proportional to 4,696.69, 6,481.44 and 2,600.81

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Solution

The fourth proportional to 4,696.69, 6,481.44 and 2,600.81 is: 3,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.69 : 6,481.44 = 2,600.81 : x
  2. Step 2: Convert to fraction form
    4,696.69/6,481.44 = 2,600.81/x
  3. Step 3: Cross multiply
    4,696.69x = 6,481.44 × 2,600.81
  4. Step 4: Simplify right side
    4,696.69x = 16,857,010.17
  5. Step 5: Solve for x
    x = 16,857,010.17/4,696.69
  6. Step 6: Final answer
    x = 3,589.13

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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.