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Finding the Fourth Proportional to 3,968.49, 5,951.51 and 3,186.65

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Solution

The fourth proportional to 3,968.49, 5,951.51 and 3,186.65 is: 4,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.49 : 5,951.51 = 3,186.65 : x
  2. Step 2: Convert to fraction form
    3,968.49/5,951.51 = 3,186.65/x
  3. Step 3: Cross multiply
    3,968.49x = 5,951.51 × 3,186.65
  4. Step 4: Simplify right side
    3,968.49x = 18,965,333.65
  5. Step 5: Solve for x
    x = 18,965,333.65/3,968.49
  6. Step 6: Final answer
    x = 4,778.98

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