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Finding the Fourth Proportional to 3,825.64, 5,735.09 and 1,634.59

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Solution

The fourth proportional to 3,825.64, 5,735.09 and 1,634.59 is: 2,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.64 : 5,735.09 = 1,634.59 : x
  2. Step 2: Convert to fraction form
    3,825.64/5,735.09 = 1,634.59/x
  3. Step 3: Cross multiply
    3,825.64x = 5,735.09 × 1,634.59
  4. Step 4: Simplify right side
    3,825.64x = 9,374,512.59
  5. Step 5: Solve for x
    x = 9,374,512.59/3,825.64
  6. Step 6: Final answer
    x = 2,450.44

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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.