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Finding the Fourth Proportional to 5,968.94, 8,243.26 and 4,474.49

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Solution

The fourth proportional to 5,968.94, 8,243.26 and 4,474.49 is: 6,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.94 : 8,243.26 = 4,474.49 : x
  2. Step 2: Convert to fraction form
    5,968.94/8,243.26 = 4,474.49/x
  3. Step 3: Cross multiply
    5,968.94x = 8,243.26 × 4,474.49
  4. Step 4: Simplify right side
    5,968.94x = 36,884,384.44
  5. Step 5: Solve for x
    x = 36,884,384.44/5,968.94
  6. Step 6: Final answer
    x = 6,179.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.