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Finding the Fourth Proportional to 3,830.94, 5,743.83 and 1,331.49

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Solution

The fourth proportional to 3,830.94, 5,743.83 and 1,331.49 is: 1,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.94 : 5,743.83 = 1,331.49 : x
  2. Step 2: Convert to fraction form
    3,830.94/5,743.83 = 1,331.49/x
  3. Step 3: Cross multiply
    3,830.94x = 5,743.83 × 1,331.49
  4. Step 4: Simplify right side
    3,830.94x = 7,647,852.21
  5. Step 5: Solve for x
    x = 7,647,852.21/3,830.94
  6. Step 6: Final answer
    x = 1,996.34

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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.