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Finding the Fourth Proportional to 4,696.78, 6,481.76 and 2,600.91

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Solution

The fourth proportional to 4,696.78, 6,481.76 and 2,600.91 is: 3,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.78 : 6,481.76 = 2,600.91 : x
  2. Step 2: Convert to fraction form
    4,696.78/6,481.76 = 2,600.91/x
  3. Step 3: Cross multiply
    4,696.78x = 6,481.76 × 2,600.91
  4. Step 4: Simplify right side
    4,696.78x = 16,858,474.40
  5. Step 5: Solve for x
    x = 16,858,474.40/4,696.78
  6. Step 6: Final answer
    x = 3,589.37

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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.