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Finding the Fourth Proportional to 5,196.26, 7,796.82 and 3,006.83

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Solution

The fourth proportional to 5,196.26, 7,796.82 and 3,006.83 is: 4,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.26 : 7,796.82 = 3,006.83 : x
  2. Step 2: Convert to fraction form
    5,196.26/7,796.82 = 3,006.83/x
  3. Step 3: Cross multiply
    5,196.26x = 7,796.82 × 3,006.83
  4. Step 4: Simplify right side
    5,196.26x = 23,443,673.30
  5. Step 5: Solve for x
    x = 23,443,673.30/5,196.26
  6. Step 6: Final answer
    x = 4,511.65

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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.