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Finding the Fourth Proportional to 3,584.68, 4,947.10 and 2,012.92

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Solution

The fourth proportional to 3,584.68, 4,947.10 and 2,012.92 is: 2,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.68 : 4,947.10 = 2,012.92 : x
  2. Step 2: Convert to fraction form
    3,584.68/4,947.10 = 2,012.92/x
  3. Step 3: Cross multiply
    3,584.68x = 4,947.10 × 2,012.92
  4. Step 4: Simplify right side
    3,584.68x = 9,958,116.53
  5. Step 5: Solve for x
    x = 9,958,116.53/3,584.68
  6. Step 6: Final answer
    x = 2,777.97

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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.