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Finding the Fourth Proportional to 3,960.69, 5,941.76 and 1,327.94

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Solution

The fourth proportional to 3,960.69, 5,941.76 and 1,327.94 is: 1,992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.69 : 5,941.76 = 1,327.94 : x
  2. Step 2: Convert to fraction form
    3,960.69/5,941.76 = 1,327.94/x
  3. Step 3: Cross multiply
    3,960.69x = 5,941.76 × 1,327.94
  4. Step 4: Simplify right side
    3,960.69x = 7,890,264.43
  5. Step 5: Solve for x
    x = 7,890,264.43/3,960.69
  6. Step 6: Final answer
    x = 1,992.14

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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.