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Finding the Fourth Proportional to 3,381.21, 5,072.49 and 1,191.48

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Solution

The fourth proportional to 3,381.21, 5,072.49 and 1,191.48 is: 1,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.21 : 5,072.49 = 1,191.48 : x
  2. Step 2: Convert to fraction form
    3,381.21/5,072.49 = 1,191.48/x
  3. Step 3: Cross multiply
    3,381.21x = 5,072.49 × 1,191.48
  4. Step 4: Simplify right side
    3,381.21x = 6,043,770.39
  5. Step 5: Solve for x
    x = 6,043,770.39/3,381.21
  6. Step 6: Final answer
    x = 1,787.46

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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.