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Finding the Fourth Proportional to 3,940.83, 5,903.37 and 3,414.78

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Solution

The fourth proportional to 3,940.83, 5,903.37 and 3,414.78 is: 5,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.83 : 5,903.37 = 3,414.78 : x
  2. Step 2: Convert to fraction form
    3,940.83/5,903.37 = 3,414.78/x
  3. Step 3: Cross multiply
    3,940.83x = 5,903.37 × 3,414.78
  4. Step 4: Simplify right side
    3,940.83x = 20,158,709.81
  5. Step 5: Solve for x
    x = 20,158,709.81/3,940.83
  6. Step 6: Final answer
    x = 5,115.35

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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.