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Finding the Fourth Proportional to 4,120.92, 5,690.13 and 3,806.06

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Solution

The fourth proportional to 4,120.92, 5,690.13 and 3,806.06 is: 5,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.92 : 5,690.13 = 3,806.06 : x
  2. Step 2: Convert to fraction form
    4,120.92/5,690.13 = 3,806.06/x
  3. Step 3: Cross multiply
    4,120.92x = 5,690.13 × 3,806.06
  4. Step 4: Simplify right side
    4,120.92x = 21,656,940.58
  5. Step 5: Solve for x
    x = 21,656,940.58/4,120.92
  6. Step 6: Final answer
    x = 5,255.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.