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Finding the Fourth Proportional to 3,952.84, 5,930.31 and 1,179.52

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Solution

The fourth proportional to 3,952.84, 5,930.31 and 1,179.52 is: 1,769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.84 : 5,930.31 = 1,179.52 : x
  2. Step 2: Convert to fraction form
    3,952.84/5,930.31 = 1,179.52/x
  3. Step 3: Cross multiply
    3,952.84x = 5,930.31 × 1,179.52
  4. Step 4: Simplify right side
    3,952.84x = 6,994,919.25
  5. Step 5: Solve for x
    x = 6,994,919.25/3,952.84
  6. Step 6: Final answer
    x = 1,769.59

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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.