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Finding the Fourth Proportional to 5,754.34, 8,633 and 2,632.86

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Solution

The fourth proportional to 5,754.34, 8,633 and 2,632.86 is: 3,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.34 : 8,633 = 2,632.86 : x
  2. Step 2: Convert to fraction form
    5,754.34/8,633 = 2,632.86/x
  3. Step 3: Cross multiply
    5,754.34x = 8,633 × 2,632.86
  4. Step 4: Simplify right side
    5,754.34x = 22,729,480.38
  5. Step 5: Solve for x
    x = 22,729,480.38/5,754.34
  6. Step 6: Final answer
    x = 3,949.97

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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.