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Finding the Fourth Proportional to 3,860.53, 5,791.41 and 1,395.10

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Solution

The fourth proportional to 3,860.53, 5,791.41 and 1,395.10 is: 2,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.53 : 5,791.41 = 1,395.10 : x
  2. Step 2: Convert to fraction form
    3,860.53/5,791.41 = 1,395.10/x
  3. Step 3: Cross multiply
    3,860.53x = 5,791.41 × 1,395.10
  4. Step 4: Simplify right side
    3,860.53x = 8,079,596.09
  5. Step 5: Solve for x
    x = 8,079,596.09/3,860.53
  6. Step 6: Final answer
    x = 2,092.87

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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.