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Finding the Fourth Proportional to 3,867, 5,805.28 and 3,662.88

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Solution

The fourth proportional to 3,867, 5,805.28 and 3,662.88 is: 5,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867 : 5,805.28 = 3,662.88 : x
  2. Step 2: Convert to fraction form
    3,867/5,805.28 = 3,662.88/x
  3. Step 3: Cross multiply
    3,867x = 5,805.28 × 3,662.88
  4. Step 4: Simplify right side
    3,867x = 21,264,044.01
  5. Step 5: Solve for x
    x = 21,264,044.01/3,867
  6. Step 6: Final answer
    x = 5,498.85

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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.