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Finding the Fourth Proportional to 3,976.64, 5,964.26 and 2,223.39

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Solution

The fourth proportional to 3,976.64, 5,964.26 and 2,223.39 is: 3,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.64 : 5,964.26 = 2,223.39 : x
  2. Step 2: Convert to fraction form
    3,976.64/5,964.26 = 2,223.39/x
  3. Step 3: Cross multiply
    3,976.64x = 5,964.26 × 2,223.39
  4. Step 4: Simplify right side
    3,976.64x = 13,260,864.92
  5. Step 5: Solve for x
    x = 13,260,864.92/3,976.64
  6. Step 6: Final answer
    x = 3,334.70

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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.