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Finding the Fourth Proportional to 5,704.42, 8,550.81 and 3,855.72

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Solution

The fourth proportional to 5,704.42, 8,550.81 and 3,855.72 is: 5,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.42 : 8,550.81 = 3,855.72 : x
  2. Step 2: Convert to fraction form
    5,704.42/8,550.81 = 3,855.72/x
  3. Step 3: Cross multiply
    5,704.42x = 8,550.81 × 3,855.72
  4. Step 4: Simplify right side
    5,704.42x = 32,969,529.13
  5. Step 5: Solve for x
    x = 32,969,529.13/5,704.42
  6. Step 6: Final answer
    x = 5,779.65

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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.