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Finding the Fourth Proportional to 3,855.15, 5,782.14 and 1,081.62

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Solution

The fourth proportional to 3,855.15, 5,782.14 and 1,081.62 is: 1,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.15 : 5,782.14 = 1,081.62 : x
  2. Step 2: Convert to fraction form
    3,855.15/5,782.14 = 1,081.62/x
  3. Step 3: Cross multiply
    3,855.15x = 5,782.14 × 1,081.62
  4. Step 4: Simplify right side
    3,855.15x = 6,254,078.27
  5. Step 5: Solve for x
    x = 6,254,078.27/3,855.15
  6. Step 6: Final answer
    x = 1,622.27

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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.