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Finding the Fourth Proportional to 3,822.68, 5,725.46 and 3,322.68

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Solution

The fourth proportional to 3,822.68, 5,725.46 and 3,322.68 is: 4,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.68 : 5,725.46 = 3,322.68 : x
  2. Step 2: Convert to fraction form
    3,822.68/5,725.46 = 3,322.68/x
  3. Step 3: Cross multiply
    3,822.68x = 5,725.46 × 3,322.68
  4. Step 4: Simplify right side
    3,822.68x = 19,023,871.43
  5. Step 5: Solve for x
    x = 19,023,871.43/3,822.68
  6. Step 6: Final answer
    x = 4,976.58

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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.