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Finding the Fourth Proportional to 5,704.67, 8,551.19 and 3,855.97

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Solution

The fourth proportional to 5,704.67, 8,551.19 and 3,855.97 is: 5,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.67 : 8,551.19 = 3,855.97 : x
  2. Step 2: Convert to fraction form
    5,704.67/8,551.19 = 3,855.97/x
  3. Step 3: Cross multiply
    5,704.67x = 8,551.19 × 3,855.97
  4. Step 4: Simplify right side
    5,704.67x = 32,973,132.10
  5. Step 5: Solve for x
    x = 32,973,132.10/5,704.67
  6. Step 6: Final answer
    x = 5,780.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.