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Finding the Fourth Proportional to 3,960, 5,938.99 and 1,494.09

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Solution

The fourth proportional to 3,960, 5,938.99 and 1,494.09 is: 2,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960 : 5,938.99 = 1,494.09 : x
  2. Step 2: Convert to fraction form
    3,960/5,938.99 = 1,494.09/x
  3. Step 3: Cross multiply
    3,960x = 5,938.99 × 1,494.09
  4. Step 4: Simplify right side
    3,960x = 8,873,385.57
  5. Step 5: Solve for x
    x = 8,873,385.57/3,960
  6. Step 6: Final answer
    x = 2,240.75

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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.