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Finding the Fourth Proportional to 3,086.78, 4,257.70 and 1,906.34

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Solution

The fourth proportional to 3,086.78, 4,257.70 and 1,906.34 is: 2,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.78 : 4,257.70 = 1,906.34 : x
  2. Step 2: Convert to fraction form
    3,086.78/4,257.70 = 1,906.34/x
  3. Step 3: Cross multiply
    3,086.78x = 4,257.70 × 1,906.34
  4. Step 4: Simplify right side
    3,086.78x = 8,116,597.76
  5. Step 5: Solve for x
    x = 8,116,597.76/3,086.78
  6. Step 6: Final answer
    x = 2,629.48

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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.