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Finding the Fourth Proportional to 3,394.25, 5,087.88 and 1,930.31

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Solution

The fourth proportional to 3,394.25, 5,087.88 and 1,930.31 is: 2,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.25 : 5,087.88 = 1,930.31 : x
  2. Step 2: Convert to fraction form
    3,394.25/5,087.88 = 1,930.31/x
  3. Step 3: Cross multiply
    3,394.25x = 5,087.88 × 1,930.31
  4. Step 4: Simplify right side
    3,394.25x = 9,821,160.20
  5. Step 5: Solve for x
    x = 9,821,160.20/3,394.25
  6. Step 6: Final answer
    x = 2,893.47

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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.