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Finding the Fourth Proportional to 3,942.67, 5,914.47 and 1,310.41

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Solution

The fourth proportional to 3,942.67, 5,914.47 and 1,310.41 is: 1,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.67 : 5,914.47 = 1,310.41 : x
  2. Step 2: Convert to fraction form
    3,942.67/5,914.47 = 1,310.41/x
  3. Step 3: Cross multiply
    3,942.67x = 5,914.47 × 1,310.41
  4. Step 4: Simplify right side
    3,942.67x = 7,750,374.08
  5. Step 5: Solve for x
    x = 7,750,374.08/3,942.67
  6. Step 6: Final answer
    x = 1,965.77

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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.