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Finding the Fourth Proportional to 5,753.69, 8,632.62 and 2,834.04

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Solution

The fourth proportional to 5,753.69, 8,632.62 and 2,834.04 is: 4,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.69 : 8,632.62 = 2,834.04 : x
  2. Step 2: Convert to fraction form
    5,753.69/8,632.62 = 2,834.04/x
  3. Step 3: Cross multiply
    5,753.69x = 8,632.62 × 2,834.04
  4. Step 4: Simplify right side
    5,753.69x = 24,465,190.38
  5. Step 5: Solve for x
    x = 24,465,190.38/5,753.69
  6. Step 6: Final answer
    x = 4,252.09

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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.