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Finding the Fourth Proportional to 5,322, 7,983.36 and 2,244

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Solution

The fourth proportional to 5,322, 7,983.36 and 2,244 is: 3,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322 : 7,983.36 = 2,244 : x
  2. Step 2: Convert to fraction form
    5,322/7,983.36 = 2,244/x
  3. Step 3: Cross multiply
    5,322x = 7,983.36 × 2,244
  4. Step 4: Simplify right side
    5,322x = 17,914,659.84
  5. Step 5: Solve for x
    x = 17,914,659.84/5,322
  6. Step 6: Final answer
    x = 3,366.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.