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Finding the Fourth Proportional to 3,893.58, 5,843.33 and 3,122.89

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Solution

The fourth proportional to 3,893.58, 5,843.33 and 3,122.89 is: 4,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.58 : 5,843.33 = 3,122.89 : x
  2. Step 2: Convert to fraction form
    3,893.58/5,843.33 = 3,122.89/x
  3. Step 3: Cross multiply
    3,893.58x = 5,843.33 × 3,122.89
  4. Step 4: Simplify right side
    3,893.58x = 18,248,076.82
  5. Step 5: Solve for x
    x = 18,248,076.82/3,893.58
  6. Step 6: Final answer
    x = 4,686.71

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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.