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Finding the Fourth Proportional to 3,766.68, 5,198.04 and 2,110.68

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Solution

The fourth proportional to 3,766.68, 5,198.04 and 2,110.68 is: 2,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.68 : 5,198.04 = 2,110.68 : x
  2. Step 2: Convert to fraction form
    3,766.68/5,198.04 = 2,110.68/x
  3. Step 3: Cross multiply
    3,766.68x = 5,198.04 × 2,110.68
  4. Step 4: Simplify right side
    3,766.68x = 10,971,399.07
  5. Step 5: Solve for x
    x = 10,971,399.07/3,766.68
  6. Step 6: Final answer
    x = 2,912.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.