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Finding the Fourth Proportional to 5,855.42, 8,081.26 and 3,765.62

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Solution

The fourth proportional to 5,855.42, 8,081.26 and 3,765.62 is: 5,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.42 : 8,081.26 = 3,765.62 : x
  2. Step 2: Convert to fraction form
    5,855.42/8,081.26 = 3,765.62/x
  3. Step 3: Cross multiply
    5,855.42x = 8,081.26 × 3,765.62
  4. Step 4: Simplify right side
    5,855.42x = 30,430,954.28
  5. Step 5: Solve for x
    x = 30,430,954.28/5,855.42
  6. Step 6: Final answer
    x = 5,197.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.