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Finding the Fourth Proportional to 3,976, 5,964.28 and 1,343.36

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Solution

The fourth proportional to 3,976, 5,964.28 and 1,343.36 is: 2,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976 : 5,964.28 = 1,343.36 : x
  2. Step 2: Convert to fraction form
    3,976/5,964.28 = 1,343.36/x
  3. Step 3: Cross multiply
    3,976x = 5,964.28 × 1,343.36
  4. Step 4: Simplify right side
    3,976x = 8,012,175.18
  5. Step 5: Solve for x
    x = 8,012,175.18/3,976
  6. Step 6: Final answer
    x = 2,015.13

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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.