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Finding the Fourth Proportional to 3,893.54, 5,843.39 and 3,432.22

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Solution

The fourth proportional to 3,893.54, 5,843.39 and 3,432.22 is: 5,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.54 : 5,843.39 = 3,432.22 : x
  2. Step 2: Convert to fraction form
    3,893.54/5,843.39 = 3,432.22/x
  3. Step 3: Cross multiply
    3,893.54x = 5,843.39 × 3,432.22
  4. Step 4: Simplify right side
    3,893.54x = 20,055,820.43
  5. Step 5: Solve for x
    x = 20,055,820.43/3,893.54
  6. Step 6: Final answer
    x = 5,151.05

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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.