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Finding the Fourth Proportional to 3,198.96, 4,806 and 2,790.72

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Solution

The fourth proportional to 3,198.96, 4,806 and 2,790.72 is: 4,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.96 : 4,806 = 2,790.72 : x
  2. Step 2: Convert to fraction form
    3,198.96/4,806 = 2,790.72/x
  3. Step 3: Cross multiply
    3,198.96x = 4,806 × 2,790.72
  4. Step 4: Simplify right side
    3,198.96x = 13,412,200.32
  5. Step 5: Solve for x
    x = 13,412,200.32/3,198.96
  6. Step 6: Final answer
    x = 4,192.68

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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.