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Finding the Fourth Proportional to 3,906.26, 5,859.36 and 1,596.14

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Solution

The fourth proportional to 3,906.26, 5,859.36 and 1,596.14 is: 2,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.26 : 5,859.36 = 1,596.14 : x
  2. Step 2: Convert to fraction form
    3,906.26/5,859.36 = 1,596.14/x
  3. Step 3: Cross multiply
    3,906.26x = 5,859.36 × 1,596.14
  4. Step 4: Simplify right side
    3,906.26x = 9,352,358.87
  5. Step 5: Solve for x
    x = 9,352,358.87/3,906.26
  6. Step 6: Final answer
    x = 2,394.20

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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.