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Finding the Fourth Proportional to 3,830.58, 5,745.87 and 1,198.08

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Solution

The fourth proportional to 3,830.58, 5,745.87 and 1,198.08 is: 1,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.58 : 5,745.87 = 1,198.08 : x
  2. Step 2: Convert to fraction form
    3,830.58/5,745.87 = 1,198.08/x
  3. Step 3: Cross multiply
    3,830.58x = 5,745.87 × 1,198.08
  4. Step 4: Simplify right side
    3,830.58x = 6,884,011.93
  5. Step 5: Solve for x
    x = 6,884,011.93/3,830.58
  6. Step 6: Final answer
    x = 1,797.12

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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.