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Finding the Fourth Proportional to 5,682.63, 8,523.95 and 1,983.87

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Solution

The fourth proportional to 5,682.63, 8,523.95 and 1,983.87 is: 2,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.63 : 8,523.95 = 1,983.87 : x
  2. Step 2: Convert to fraction form
    5,682.63/8,523.95 = 1,983.87/x
  3. Step 3: Cross multiply
    5,682.63x = 8,523.95 × 1,983.87
  4. Step 4: Simplify right side
    5,682.63x = 16,910,408.69
  5. Step 5: Solve for x
    x = 16,910,408.69/5,682.63
  6. Step 6: Final answer
    x = 2,975.81

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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.