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Finding the Fourth Proportional to 3,906.54, 5,390.80 and 2,227.72

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Solution

The fourth proportional to 3,906.54, 5,390.80 and 2,227.72 is: 3,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.54 : 5,390.80 = 2,227.72 : x
  2. Step 2: Convert to fraction form
    3,906.54/5,390.80 = 2,227.72/x
  3. Step 3: Cross multiply
    3,906.54x = 5,390.80 × 2,227.72
  4. Step 4: Simplify right side
    3,906.54x = 12,009,192.98
  5. Step 5: Solve for x
    x = 12,009,192.98/3,906.54
  6. Step 6: Final answer
    x = 3,074.13

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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.