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Finding the Fourth Proportional to 5,047.75, 6,965.90 and 2,839.75

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Solution

The fourth proportional to 5,047.75, 6,965.90 and 2,839.75 is: 3,918.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.75 : 6,965.90 = 2,839.75 : x
  2. Step 2: Convert to fraction form
    5,047.75/6,965.90 = 2,839.75/x
  3. Step 3: Cross multiply
    5,047.75x = 6,965.90 × 2,839.75
  4. Step 4: Simplify right side
    5,047.75x = 19,781,414.53
  5. Step 5: Solve for x
    x = 19,781,414.53/5,047.75
  6. Step 6: Final answer
    x = 3,918.86

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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.