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Finding the Fourth Proportional to 3,388.26, 5,082.26 and 1,196.94

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Solution

The fourth proportional to 3,388.26, 5,082.26 and 1,196.94 is: 1,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.26 : 5,082.26 = 1,196.94 : x
  2. Step 2: Convert to fraction form
    3,388.26/5,082.26 = 1,196.94/x
  3. Step 3: Cross multiply
    3,388.26x = 5,082.26 × 1,196.94
  4. Step 4: Simplify right side
    3,388.26x = 6,083,173.36
  5. Step 5: Solve for x
    x = 6,083,173.36/3,388.26
  6. Step 6: Final answer
    x = 1,795.37

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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.