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Finding the Fourth Proportional to 3,633.81, 5,450.70 and 2,983.17

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Solution

The fourth proportional to 3,633.81, 5,450.70 and 2,983.17 is: 4,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.81 : 5,450.70 = 2,983.17 : x
  2. Step 2: Convert to fraction form
    3,633.81/5,450.70 = 2,983.17/x
  3. Step 3: Cross multiply
    3,633.81x = 5,450.70 × 2,983.17
  4. Step 4: Simplify right side
    3,633.81x = 16,260,364.72
  5. Step 5: Solve for x
    x = 16,260,364.72/3,633.81
  6. Step 6: Final answer
    x = 4,474.74

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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.