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Finding the Fourth Proportional to 3,817.85, 5,268.94 and 2,139.63

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Solution

The fourth proportional to 3,817.85, 5,268.94 and 2,139.63 is: 2,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.85 : 5,268.94 = 2,139.63 : x
  2. Step 2: Convert to fraction form
    3,817.85/5,268.94 = 2,139.63/x
  3. Step 3: Cross multiply
    3,817.85x = 5,268.94 × 2,139.63
  4. Step 4: Simplify right side
    3,817.85x = 11,273,582.09
  5. Step 5: Solve for x
    x = 11,273,582.09/3,817.85
  6. Step 6: Final answer
    x = 2,952.86

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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.