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Finding the Fourth Proportional to 3,578.80, 5,365.37 and 1,729.41

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Solution

The fourth proportional to 3,578.80, 5,365.37 and 1,729.41 is: 2,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.80 : 5,365.37 = 1,729.41 : x
  2. Step 2: Convert to fraction form
    3,578.80/5,365.37 = 1,729.41/x
  3. Step 3: Cross multiply
    3,578.80x = 5,365.37 × 1,729.41
  4. Step 4: Simplify right side
    3,578.80x = 9,278,924.53
  5. Step 5: Solve for x
    x = 9,278,924.53/3,578.80
  6. Step 6: Final answer
    x = 2,592.75

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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.