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Finding the Fourth Proportional to 5,968.21, 8,957.79 and 3,198.01

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Solution

The fourth proportional to 5,968.21, 8,957.79 and 3,198.01 is: 4,799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.21 : 8,957.79 = 3,198.01 : x
  2. Step 2: Convert to fraction form
    5,968.21/8,957.79 = 3,198.01/x
  3. Step 3: Cross multiply
    5,968.21x = 8,957.79 × 3,198.01
  4. Step 4: Simplify right side
    5,968.21x = 28,647,086.01
  5. Step 5: Solve for x
    x = 28,647,086.01/5,968.21
  6. Step 6: Final answer
    x = 4,799.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.