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Finding the Fourth Proportional to 3,951.94, 5,926.68 and 1,178.09

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Solution

The fourth proportional to 3,951.94, 5,926.68 and 1,178.09 is: 1,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.94 : 5,926.68 = 1,178.09 : x
  2. Step 2: Convert to fraction form
    3,951.94/5,926.68 = 1,178.09/x
  3. Step 3: Cross multiply
    3,951.94x = 5,926.68 × 1,178.09
  4. Step 4: Simplify right side
    3,951.94x = 6,982,162.44
  5. Step 5: Solve for x
    x = 6,982,162.44/3,951.94
  6. Step 6: Final answer
    x = 1,766.77

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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.