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Finding the Fourth Proportional to 3,965.50, 5,968.15 and 2,983.41

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Solution

The fourth proportional to 3,965.50, 5,968.15 and 2,983.41 is: 4,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.50 : 5,968.15 = 2,983.41 : x
  2. Step 2: Convert to fraction form
    3,965.50/5,968.15 = 2,983.41/x
  3. Step 3: Cross multiply
    3,965.50x = 5,968.15 × 2,983.41
  4. Step 4: Simplify right side
    3,965.50x = 17,805,438.39
  5. Step 5: Solve for x
    x = 17,805,438.39/3,965.50
  6. Step 6: Final answer
    x = 4,490.09

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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.