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Finding the Fourth Proportional to 3,806.04, 5,229.60 and 3,106.20

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Solution

The fourth proportional to 3,806.04, 5,229.60 and 3,106.20 is: 4,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.04 : 5,229.60 = 3,106.20 : x
  2. Step 2: Convert to fraction form
    3,806.04/5,229.60 = 3,106.20/x
  3. Step 3: Cross multiply
    3,806.04x = 5,229.60 × 3,106.20
  4. Step 4: Simplify right side
    3,806.04x = 16,244,183.52
  5. Step 5: Solve for x
    x = 16,244,183.52/3,806.04
  6. Step 6: Final answer
    x = 4,268.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.