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Finding the Fourth Proportional to 3,804.30, 5,229.77 and 3,271.22

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Solution

The fourth proportional to 3,804.30, 5,229.77 and 3,271.22 is: 4,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.30 : 5,229.77 = 3,271.22 : x
  2. Step 2: Convert to fraction form
    3,804.30/5,229.77 = 3,271.22/x
  3. Step 3: Cross multiply
    3,804.30x = 5,229.77 × 3,271.22
  4. Step 4: Simplify right side
    3,804.30x = 17,107,705.33
  5. Step 5: Solve for x
    x = 17,107,705.33/3,804.30
  6. Step 6: Final answer
    x = 4,496.94

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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.