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Finding the Fourth Proportional to 3,584.97, 5,370.26 and 1,634.49

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Solution

The fourth proportional to 3,584.97, 5,370.26 and 1,634.49 is: 2,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.97 : 5,370.26 = 1,634.49 : x
  2. Step 2: Convert to fraction form
    3,584.97/5,370.26 = 1,634.49/x
  3. Step 3: Cross multiply
    3,584.97x = 5,370.26 × 1,634.49
  4. Step 4: Simplify right side
    3,584.97x = 8,777,628.09
  5. Step 5: Solve for x
    x = 8,777,628.09/3,584.97
  6. Step 6: Final answer
    x = 2,448.45

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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.