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Finding the Fourth Proportional to 3,608.80, 4,982.46 and 2,947.24

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Solution

The fourth proportional to 3,608.80, 4,982.46 and 2,947.24 is: 4,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.80 : 4,982.46 = 2,947.24 : x
  2. Step 2: Convert to fraction form
    3,608.80/4,982.46 = 2,947.24/x
  3. Step 3: Cross multiply
    3,608.80x = 4,982.46 × 2,947.24
  4. Step 4: Simplify right side
    3,608.80x = 14,684,505.41
  5. Step 5: Solve for x
    x = 14,684,505.41/3,608.80
  6. Step 6: Final answer
    x = 4,069.08

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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.