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Finding the Fourth Proportional to 3,830.38, 5,745.38 and 1,197.86

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Solution

The fourth proportional to 3,830.38, 5,745.38 and 1,197.86 is: 1,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.38 : 5,745.38 = 1,197.86 : x
  2. Step 2: Convert to fraction form
    3,830.38/5,745.38 = 1,197.86/x
  3. Step 3: Cross multiply
    3,830.38x = 5,745.38 × 1,197.86
  4. Step 4: Simplify right side
    3,830.38x = 6,882,140.53
  5. Step 5: Solve for x
    x = 6,882,140.53/3,830.38
  6. Step 6: Final answer
    x = 1,796.73

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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.