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Finding the Fourth Proportional to 3,942.37, 5,435.94 and 2,945.98

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Solution

The fourth proportional to 3,942.37, 5,435.94 and 2,945.98 is: 4,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.37 : 5,435.94 = 2,945.98 : x
  2. Step 2: Convert to fraction form
    3,942.37/5,435.94 = 2,945.98/x
  3. Step 3: Cross multiply
    3,942.37x = 5,435.94 × 2,945.98
  4. Step 4: Simplify right side
    3,942.37x = 16,014,170.52
  5. Step 5: Solve for x
    x = 16,014,170.52/3,942.37
  6. Step 6: Final answer
    x = 4,062.07

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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.