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Finding the Fourth Proportional to 3,638.22, 5,458.95 and 1,906.44

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Solution

The fourth proportional to 3,638.22, 5,458.95 and 1,906.44 is: 2,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.22 : 5,458.95 = 1,906.44 : x
  2. Step 2: Convert to fraction form
    3,638.22/5,458.95 = 1,906.44/x
  3. Step 3: Cross multiply
    3,638.22x = 5,458.95 × 1,906.44
  4. Step 4: Simplify right side
    3,638.22x = 10,407,151.11
  5. Step 5: Solve for x
    x = 10,407,151.11/3,638.22
  6. Step 6: Final answer
    x = 2,860.51

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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.