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Finding the Fourth Proportional to 3,381.32, 5,072.78 and 1,072.82

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Solution

The fourth proportional to 3,381.32, 5,072.78 and 1,072.82 is: 1,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.32 : 5,072.78 = 1,072.82 : x
  2. Step 2: Convert to fraction form
    3,381.32/5,072.78 = 1,072.82/x
  3. Step 3: Cross multiply
    3,381.32x = 5,072.78 × 1,072.82
  4. Step 4: Simplify right side
    3,381.32x = 5,442,174.48
  5. Step 5: Solve for x
    x = 5,442,174.48/3,381.32
  6. Step 6: Final answer
    x = 1,609.48

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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.