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Finding the Fourth Proportional to 3,812.98, 5,717.21 and 1,179.71

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Solution

The fourth proportional to 3,812.98, 5,717.21 and 1,179.71 is: 1,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.98 : 5,717.21 = 1,179.71 : x
  2. Step 2: Convert to fraction form
    3,812.98/5,717.21 = 1,179.71/x
  3. Step 3: Cross multiply
    3,812.98x = 5,717.21 × 1,179.71
  4. Step 4: Simplify right side
    3,812.98x = 6,744,647.82
  5. Step 5: Solve for x
    x = 6,744,647.82/3,812.98
  6. Step 6: Final answer
    x = 1,768.86

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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.