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Finding the Fourth Proportional to 3,425.56, 5,141.22 and 3,209.56

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Solution

The fourth proportional to 3,425.56, 5,141.22 and 3,209.56 is: 4,817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.56 : 5,141.22 = 3,209.56 : x
  2. Step 2: Convert to fraction form
    3,425.56/5,141.22 = 3,209.56/x
  3. Step 3: Cross multiply
    3,425.56x = 5,141.22 × 3,209.56
  4. Step 4: Simplify right side
    3,425.56x = 16,501,054.06
  5. Step 5: Solve for x
    x = 16,501,054.06/3,425.56
  6. Step 6: Final answer
    x = 4,817.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.