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Finding the Fourth Proportional to 3,584.87, 4,947.12 and 2,012.97

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Solution

The fourth proportional to 3,584.87, 4,947.12 and 2,012.97 is: 2,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.87 : 4,947.12 = 2,012.97 : x
  2. Step 2: Convert to fraction form
    3,584.87/4,947.12 = 2,012.97/x
  3. Step 3: Cross multiply
    3,584.87x = 4,947.12 × 2,012.97
  4. Step 4: Simplify right side
    3,584.87x = 9,958,385.59
  5. Step 5: Solve for x
    x = 9,958,385.59/3,584.87
  6. Step 6: Final answer
    x = 2,777.89

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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.