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Finding the Fourth Proportional to 5,796.26, 8,696.82 and 3,201.02

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Solution

The fourth proportional to 5,796.26, 8,696.82 and 3,201.02 is: 4,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.26 : 8,696.82 = 3,201.02 : x
  2. Step 2: Convert to fraction form
    5,796.26/8,696.82 = 3,201.02/x
  3. Step 3: Cross multiply
    5,796.26x = 8,696.82 × 3,201.02
  4. Step 4: Simplify right side
    5,796.26x = 27,838,694.76
  5. Step 5: Solve for x
    x = 27,838,694.76/5,796.26
  6. Step 6: Final answer
    x = 4,802.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.