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Finding the Fourth Proportional to 5,921.33, 8,170.34 and 3,797.24

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Solution

The fourth proportional to 5,921.33, 8,170.34 and 3,797.24 is: 5,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.33 : 8,170.34 = 3,797.24 : x
  2. Step 2: Convert to fraction form
    5,921.33/8,170.34 = 3,797.24/x
  3. Step 3: Cross multiply
    5,921.33x = 8,170.34 × 3,797.24
  4. Step 4: Simplify right side
    5,921.33x = 31,024,682.02
  5. Step 5: Solve for x
    x = 31,024,682.02/5,921.33
  6. Step 6: Final answer
    x = 5,239.48

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