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Finding the Fourth Proportional to 3,817.85, 5,727.39 and 1,352.13

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Solution

The fourth proportional to 3,817.85, 5,727.39 and 1,352.13 is: 2,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.85 : 5,727.39 = 1,352.13 : x
  2. Step 2: Convert to fraction form
    3,817.85/5,727.39 = 1,352.13/x
  3. Step 3: Cross multiply
    3,817.85x = 5,727.39 × 1,352.13
  4. Step 4: Simplify right side
    3,817.85x = 7,744,175.84
  5. Step 5: Solve for x
    x = 7,744,175.84/3,817.85
  6. Step 6: Final answer
    x = 2,028.42

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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.