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Finding the Fourth Proportional to 5,997.60, 8,273.43 and 3,758.97

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Solution

The fourth proportional to 5,997.60, 8,273.43 and 3,758.97 is: 5,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.60 : 8,273.43 = 3,758.97 : x
  2. Step 2: Convert to fraction form
    5,997.60/8,273.43 = 3,758.97/x
  3. Step 3: Cross multiply
    5,997.60x = 8,273.43 × 3,758.97
  4. Step 4: Simplify right side
    5,997.60x = 31,099,575.17
  5. Step 5: Solve for x
    x = 31,099,575.17/5,997.60
  6. Step 6: Final answer
    x = 5,185.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.