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Finding the Fourth Proportional to 5,144.90, 7,717.41 and 1,857.78

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Solution

The fourth proportional to 5,144.90, 7,717.41 and 1,857.78 is: 2,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.90 : 7,717.41 = 1,857.78 : x
  2. Step 2: Convert to fraction form
    5,144.90/7,717.41 = 1,857.78/x
  3. Step 3: Cross multiply
    5,144.90x = 7,717.41 × 1,857.78
  4. Step 4: Simplify right side
    5,144.90x = 14,337,249.95
  5. Step 5: Solve for x
    x = 14,337,249.95/5,144.90
  6. Step 6: Final answer
    x = 2,786.69

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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.