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Finding the Fourth Proportional to 4,696.31, 6,481.01 and 2,600.44

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Solution

The fourth proportional to 4,696.31, 6,481.01 and 2,600.44 is: 3,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.31 : 6,481.01 = 2,600.44 : x
  2. Step 2: Convert to fraction form
    4,696.31/6,481.01 = 2,600.44/x
  3. Step 3: Cross multiply
    4,696.31x = 6,481.01 × 2,600.44
  4. Step 4: Simplify right side
    4,696.31x = 16,853,467.94
  5. Step 5: Solve for x
    x = 16,853,467.94/4,696.31
  6. Step 6: Final answer
    x = 3,588.66

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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.