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Finding the Fourth Proportional to 5,133.92, 7,696.43 and 3,181.82

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Solution

The fourth proportional to 5,133.92, 7,696.43 and 3,181.82 is: 4,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.92 : 7,696.43 = 3,181.82 : x
  2. Step 2: Convert to fraction form
    5,133.92/7,696.43 = 3,181.82/x
  3. Step 3: Cross multiply
    5,133.92x = 7,696.43 × 3,181.82
  4. Step 4: Simplify right side
    5,133.92x = 24,488,638.99
  5. Step 5: Solve for x
    x = 24,488,638.99/5,133.92
  6. Step 6: Final answer
    x = 4,769.97

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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.