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Finding the Fourth Proportional to 5,249.89, 7,836.43 and 4,627.13

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Solution

The fourth proportional to 5,249.89, 7,836.43 and 4,627.13 is: 6,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.89 : 7,836.43 = 4,627.13 : x
  2. Step 2: Convert to fraction form
    5,249.89/7,836.43 = 4,627.13/x
  3. Step 3: Cross multiply
    5,249.89x = 7,836.43 × 4,627.13
  4. Step 4: Simplify right side
    5,249.89x = 36,260,180.35
  5. Step 5: Solve for x
    x = 36,260,180.35/5,249.89
  6. Step 6: Final answer
    x = 6,906.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.