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Finding the Fourth Proportional to 3,446.75, 5,167.19 and 1,596.92

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Solution

The fourth proportional to 3,446.75, 5,167.19 and 1,596.92 is: 2,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.75 : 5,167.19 = 1,596.92 : x
  2. Step 2: Convert to fraction form
    3,446.75/5,167.19 = 1,596.92/x
  3. Step 3: Cross multiply
    3,446.75x = 5,167.19 × 1,596.92
  4. Step 4: Simplify right side
    3,446.75x = 8,251,567.21
  5. Step 5: Solve for x
    x = 8,251,567.21/3,446.75
  6. Step 6: Final answer
    x = 2,394.01

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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.