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Finding the Fourth Proportional to 3,391.44, 5,086.80 and 892.32

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Solution

The fourth proportional to 3,391.44, 5,086.80 and 892.32 is: 1,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.44 : 5,086.80 = 892.32 : x
  2. Step 2: Convert to fraction form
    3,391.44/5,086.80 = 892.32/x
  3. Step 3: Cross multiply
    3,391.44x = 5,086.80 × 892.32
  4. Step 4: Simplify right side
    3,391.44x = 4,539,053.38
  5. Step 5: Solve for x
    x = 4,539,053.38/3,391.44
  6. Step 6: Final answer
    x = 1,338.39

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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.