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Finding the Fourth Proportional to 3,444.52, 5,163.90 and 1,596.97

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Solution

The fourth proportional to 3,444.52, 5,163.90 and 1,596.97 is: 2,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.52 : 5,163.90 = 1,596.97 : x
  2. Step 2: Convert to fraction form
    3,444.52/5,163.90 = 1,596.97/x
  3. Step 3: Cross multiply
    3,444.52x = 5,163.90 × 1,596.97
  4. Step 4: Simplify right side
    3,444.52x = 8,246,567.56
  5. Step 5: Solve for x
    x = 8,246,567.56/3,444.52
  6. Step 6: Final answer
    x = 2,394.11

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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.