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Finding the Fourth Proportional to 5,249.30, 7,874.94 and 1,962.26

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Solution

The fourth proportional to 5,249.30, 7,874.94 and 1,962.26 is: 2,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.30 : 7,874.94 = 1,962.26 : x
  2. Step 2: Convert to fraction form
    5,249.30/7,874.94 = 1,962.26/x
  3. Step 3: Cross multiply
    5,249.30x = 7,874.94 × 1,962.26
  4. Step 4: Simplify right side
    5,249.30x = 15,452,640.39
  5. Step 5: Solve for x
    x = 15,452,640.39/5,249.30
  6. Step 6: Final answer
    x = 2,943.76

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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.