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Finding the Fourth Proportional to 4,110.90, 6,179.99 and 3,806.52

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Solution

The fourth proportional to 4,110.90, 6,179.99 and 3,806.52 is: 5,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110.90 : 6,179.99 = 3,806.52 : x
  2. Step 2: Convert to fraction form
    4,110.90/6,179.99 = 3,806.52/x
  3. Step 3: Cross multiply
    4,110.90x = 6,179.99 × 3,806.52
  4. Step 4: Simplify right side
    4,110.90x = 23,524,236.50
  5. Step 5: Solve for x
    x = 23,524,236.50/4,110.90
  6. Step 6: Final answer
    x = 5,722.41

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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.