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Finding the Fourth Proportional to 3,964.50, 5,966.64 and 2,982.41

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Solution

The fourth proportional to 3,964.50, 5,966.64 and 2,982.41 is: 4,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.50 : 5,966.64 = 2,982.41 : x
  2. Step 2: Convert to fraction form
    3,964.50/5,966.64 = 2,982.41/x
  3. Step 3: Cross multiply
    3,964.50x = 5,966.64 × 2,982.41
  4. Step 4: Simplify right side
    3,964.50x = 17,794,936.97
  5. Step 5: Solve for x
    x = 17,794,936.97/3,964.50
  6. Step 6: Final answer
    x = 4,488.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.