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Finding the Fourth Proportional to 5,170.78, 7,755.98 and 2,249.10

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Solution

The fourth proportional to 5,170.78, 7,755.98 and 2,249.10 is: 3,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.78 : 7,755.98 = 2,249.10 : x
  2. Step 2: Convert to fraction form
    5,170.78/7,755.98 = 2,249.10/x
  3. Step 3: Cross multiply
    5,170.78x = 7,755.98 × 2,249.10
  4. Step 4: Simplify right side
    5,170.78x = 17,443,974.62
  5. Step 5: Solve for x
    x = 17,443,974.62/5,170.78
  6. Step 6: Final answer
    x = 3,373.57

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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.