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Finding the Fourth Proportional to 3,817.67, 5,268.47 and 2,139.12

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Solution

The fourth proportional to 3,817.67, 5,268.47 and 2,139.12 is: 2,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.67 : 5,268.47 = 2,139.12 : x
  2. Step 2: Convert to fraction form
    3,817.67/5,268.47 = 2,139.12/x
  3. Step 3: Cross multiply
    3,817.67x = 5,268.47 × 2,139.12
  4. Step 4: Simplify right side
    3,817.67x = 11,269,878.85
  5. Step 5: Solve for x
    x = 11,269,878.85/3,817.67
  6. Step 6: Final answer
    x = 2,952.03

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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.