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Finding the Fourth Proportional to 3,381.57, 5,072.34 and 1,190.04

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Solution

The fourth proportional to 3,381.57, 5,072.34 and 1,190.04 is: 1,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.57 : 5,072.34 = 1,190.04 : x
  2. Step 2: Convert to fraction form
    3,381.57/5,072.34 = 1,190.04/x
  3. Step 3: Cross multiply
    3,381.57x = 5,072.34 × 1,190.04
  4. Step 4: Simplify right side
    3,381.57x = 6,036,287.49
  5. Step 5: Solve for x
    x = 6,036,287.49/3,381.57
  6. Step 6: Final answer
    x = 1,785.05

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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.