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Finding the Fourth Proportional to 3,759.49, 5,640.45 and 1,294.26

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Solution

The fourth proportional to 3,759.49, 5,640.45 and 1,294.26 is: 1,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.49 : 5,640.45 = 1,294.26 : x
  2. Step 2: Convert to fraction form
    3,759.49/5,640.45 = 1,294.26/x
  3. Step 3: Cross multiply
    3,759.49x = 5,640.45 × 1,294.26
  4. Step 4: Simplify right side
    3,759.49x = 7,300,208.82
  5. Step 5: Solve for x
    x = 7,300,208.82/3,759.49
  6. Step 6: Final answer
    x = 1,941.81

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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.