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Finding the Fourth Proportional to 5,791.80, 8,681.22 and 2,325

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Solution

The fourth proportional to 5,791.80, 8,681.22 and 2,325 is: 3,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.80 : 8,681.22 = 2,325 : x
  2. Step 2: Convert to fraction form
    5,791.80/8,681.22 = 2,325/x
  3. Step 3: Cross multiply
    5,791.80x = 8,681.22 × 2,325
  4. Step 4: Simplify right side
    5,791.80x = 20,183,836.50
  5. Step 5: Solve for x
    x = 20,183,836.50/5,791.80
  6. Step 6: Final answer
    x = 3,484.90

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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.