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Finding the Fourth Proportional to 3,645.39, 5,469.56 and 1,796.46

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Solution

The fourth proportional to 3,645.39, 5,469.56 and 1,796.46 is: 2,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.39 : 5,469.56 = 1,796.46 : x
  2. Step 2: Convert to fraction form
    3,645.39/5,469.56 = 1,796.46/x
  3. Step 3: Cross multiply
    3,645.39x = 5,469.56 × 1,796.46
  4. Step 4: Simplify right side
    3,645.39x = 9,825,836.78
  5. Step 5: Solve for x
    x = 9,825,836.78/3,645.39
  6. Step 6: Final answer
    x = 2,695.41

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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.