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Finding the Fourth Proportional to 3,608.93, 5,414.07 and 1,143.09

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Solution

The fourth proportional to 3,608.93, 5,414.07 and 1,143.09 is: 1,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.93 : 5,414.07 = 1,143.09 : x
  2. Step 2: Convert to fraction form
    3,608.93/5,414.07 = 1,143.09/x
  3. Step 3: Cross multiply
    3,608.93x = 5,414.07 × 1,143.09
  4. Step 4: Simplify right side
    3,608.93x = 6,188,769.28
  5. Step 5: Solve for x
    x = 6,188,769.28/3,608.93
  6. Step 6: Final answer
    x = 1,714.85

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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.