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Finding the Fourth Proportional to 3,502.90, 5,249.42 and 1,943.62

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Solution

The fourth proportional to 3,502.90, 5,249.42 and 1,943.62 is: 2,912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.90 : 5,249.42 = 1,943.62 : x
  2. Step 2: Convert to fraction form
    3,502.90/5,249.42 = 1,943.62/x
  3. Step 3: Cross multiply
    3,502.90x = 5,249.42 × 1,943.62
  4. Step 4: Simplify right side
    3,502.90x = 10,202,877.70
  5. Step 5: Solve for x
    x = 10,202,877.70/3,502.90
  6. Step 6: Final answer
    x = 2,912.69

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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.