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Finding the Fourth Proportional to 3,855.88, 5,321.22 and 2,177.54

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Solution

The fourth proportional to 3,855.88, 5,321.22 and 2,177.54 is: 3,005.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.88 : 5,321.22 = 2,177.54 : x
  2. Step 2: Convert to fraction form
    3,855.88/5,321.22 = 2,177.54/x
  3. Step 3: Cross multiply
    3,855.88x = 5,321.22 × 2,177.54
  4. Step 4: Simplify right side
    3,855.88x = 11,587,168.85
  5. Step 5: Solve for x
    x = 11,587,168.85/3,855.88
  6. Step 6: Final answer
    x = 3,005.06

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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.