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Finding the Fourth Proportional to 3,817.44, 5,725.98 and 1,867.68

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Solution

The fourth proportional to 3,817.44, 5,725.98 and 1,867.68 is: 2,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.44 : 5,725.98 = 1,867.68 : x
  2. Step 2: Convert to fraction form
    3,817.44/5,725.98 = 1,867.68/x
  3. Step 3: Cross multiply
    3,817.44x = 5,725.98 × 1,867.68
  4. Step 4: Simplify right side
    3,817.44x = 10,694,298.33
  5. Step 5: Solve for x
    x = 10,694,298.33/3,817.44
  6. Step 6: Final answer
    x = 2,801.43

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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.