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Finding the Fourth Proportional to 5,144.77, 7,717.10 and 1,249.18

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Solution

The fourth proportional to 5,144.77, 7,717.10 and 1,249.18 is: 1,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.77 : 7,717.10 = 1,249.18 : x
  2. Step 2: Convert to fraction form
    5,144.77/7,717.10 = 1,249.18/x
  3. Step 3: Cross multiply
    5,144.77x = 7,717.10 × 1,249.18
  4. Step 4: Simplify right side
    5,144.77x = 9,640,021.44
  5. Step 5: Solve for x
    x = 9,640,021.44/5,144.77
  6. Step 6: Final answer
    x = 1,873.75

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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.