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Finding the Fourth Proportional to 3,858.91, 5,791.44 and 1,395.46

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Solution

The fourth proportional to 3,858.91, 5,791.44 and 1,395.46 is: 2,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.91 : 5,791.44 = 1,395.46 : x
  2. Step 2: Convert to fraction form
    3,858.91/5,791.44 = 1,395.46/x
  3. Step 3: Cross multiply
    3,858.91x = 5,791.44 × 1,395.46
  4. Step 4: Simplify right side
    3,858.91x = 8,081,722.86
  5. Step 5: Solve for x
    x = 8,081,722.86/3,858.91
  6. Step 6: Final answer
    x = 2,094.30

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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.