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Finding the Fourth Proportional to 5,942.80, 8,200.84 and 3,424.56

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Solution

The fourth proportional to 5,942.80, 8,200.84 and 3,424.56 is: 4,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.80 : 8,200.84 = 3,424.56 : x
  2. Step 2: Convert to fraction form
    5,942.80/8,200.84 = 3,424.56/x
  3. Step 3: Cross multiply
    5,942.80x = 8,200.84 × 3,424.56
  4. Step 4: Simplify right side
    5,942.80x = 28,084,268.63
  5. Step 5: Solve for x
    x = 28,084,268.63/5,942.80
  6. Step 6: Final answer
    x = 4,725.76

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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.