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Finding the Fourth Proportional to 5,634.86, 8,453.49 and 1,937.42

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Solution

The fourth proportional to 5,634.86, 8,453.49 and 1,937.42 is: 2,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.86 : 8,453.49 = 1,937.42 : x
  2. Step 2: Convert to fraction form
    5,634.86/8,453.49 = 1,937.42/x
  3. Step 3: Cross multiply
    5,634.86x = 8,453.49 × 1,937.42
  4. Step 4: Simplify right side
    5,634.86x = 16,377,960.60
  5. Step 5: Solve for x
    x = 16,377,960.60/5,634.86
  6. Step 6: Final answer
    x = 2,906.54

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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.