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Finding the Fourth Proportional to 3,941.25, 5,910.42 and 1,308.06

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Solution

The fourth proportional to 3,941.25, 5,910.42 and 1,308.06 is: 1,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.25 : 5,910.42 = 1,308.06 : x
  2. Step 2: Convert to fraction form
    3,941.25/5,910.42 = 1,308.06/x
  3. Step 3: Cross multiply
    3,941.25x = 5,910.42 × 1,308.06
  4. Step 4: Simplify right side
    3,941.25x = 7,731,183.99
  5. Step 5: Solve for x
    x = 7,731,183.99/3,941.25
  6. Step 6: Final answer
    x = 1,961.61

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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.