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Finding the Fourth Proportional to 3,938.80, 5,435.74 and 2,237.44

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Solution

The fourth proportional to 3,938.80, 5,435.74 and 2,237.44 is: 3,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.80 : 5,435.74 = 2,237.44 : x
  2. Step 2: Convert to fraction form
    3,938.80/5,435.74 = 2,237.44/x
  3. Step 3: Cross multiply
    3,938.80x = 5,435.74 × 2,237.44
  4. Step 4: Simplify right side
    3,938.80x = 12,162,142.11
  5. Step 5: Solve for x
    x = 12,162,142.11/3,938.80
  6. Step 6: Final answer
    x = 3,087.78

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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.