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Finding the Fourth Proportional to 3,596.67, 5,383.26 and 1,949.13

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Solution

The fourth proportional to 3,596.67, 5,383.26 and 1,949.13 is: 2,917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.67 : 5,383.26 = 1,949.13 : x
  2. Step 2: Convert to fraction form
    3,596.67/5,383.26 = 1,949.13/x
  3. Step 3: Cross multiply
    3,596.67x = 5,383.26 × 1,949.13
  4. Step 4: Simplify right side
    3,596.67x = 10,492,673.56
  5. Step 5: Solve for x
    x = 10,492,673.56/3,596.67
  6. Step 6: Final answer
    x = 2,917.33

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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.