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Finding the Fourth Proportional to 3,961.60, 5,942.48 and 1,364.48

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Solution

The fourth proportional to 3,961.60, 5,942.48 and 1,364.48 is: 2,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.60 : 5,942.48 = 1,364.48 : x
  2. Step 2: Convert to fraction form
    3,961.60/5,942.48 = 1,364.48/x
  3. Step 3: Cross multiply
    3,961.60x = 5,942.48 × 1,364.48
  4. Step 4: Simplify right side
    3,961.60x = 8,108,395.11
  5. Step 5: Solve for x
    x = 8,108,395.11/3,961.60
  6. Step 6: Final answer
    x = 2,046.75

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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.