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Finding the Fourth Proportional to 3,858.12, 5,779.10 and 3,198.43

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Solution

The fourth proportional to 3,858.12, 5,779.10 and 3,198.43 is: 4,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.12 : 5,779.10 = 3,198.43 : x
  2. Step 2: Convert to fraction form
    3,858.12/5,779.10 = 3,198.43/x
  3. Step 3: Cross multiply
    3,858.12x = 5,779.10 × 3,198.43
  4. Step 4: Simplify right side
    3,858.12x = 18,484,062.03
  5. Step 5: Solve for x
    x = 18,484,062.03/3,858.12
  6. Step 6: Final answer
    x = 4,790.95

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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.