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Finding the Fourth Proportional to 3,893.14, 5,835.99 and 1,294.25

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Solution

The fourth proportional to 3,893.14, 5,835.99 and 1,294.25 is: 1,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.14 : 5,835.99 = 1,294.25 : x
  2. Step 2: Convert to fraction form
    3,893.14/5,835.99 = 1,294.25/x
  3. Step 3: Cross multiply
    3,893.14x = 5,835.99 × 1,294.25
  4. Step 4: Simplify right side
    3,893.14x = 7,553,230.06
  5. Step 5: Solve for x
    x = 7,553,230.06/3,893.14
  6. Step 6: Final answer
    x = 1,940.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.