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Finding the Fourth Proportional to 5,753, 8,632.38 and 2,633

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Solution

The fourth proportional to 5,753, 8,632.38 and 2,633 is: 3,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753 : 8,632.38 = 2,633 : x
  2. Step 2: Convert to fraction form
    5,753/8,632.38 = 2,633/x
  3. Step 3: Cross multiply
    5,753x = 8,632.38 × 2,633
  4. Step 4: Simplify right side
    5,753x = 22,729,056.54
  5. Step 5: Solve for x
    x = 22,729,056.54/5,753
  6. Step 6: Final answer
    x = 3,950.82

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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.