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Finding the Fourth Proportional to 3,906.12, 5,859.26 and 1,596.20

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Solution

The fourth proportional to 3,906.12, 5,859.26 and 1,596.20 is: 2,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.12 : 5,859.26 = 1,596.20 : x
  2. Step 2: Convert to fraction form
    3,906.12/5,859.26 = 1,596.20/x
  3. Step 3: Cross multiply
    3,906.12x = 5,859.26 × 1,596.20
  4. Step 4: Simplify right side
    3,906.12x = 9,352,550.81
  5. Step 5: Solve for x
    x = 9,352,550.81/3,906.12
  6. Step 6: Final answer
    x = 2,394.33

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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.