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Finding the Fourth Proportional to 5,983.05, 8,991.05 and 3,211.77

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Solution

The fourth proportional to 5,983.05, 8,991.05 and 3,211.77 is: 4,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.05 : 8,991.05 = 3,211.77 : x
  2. Step 2: Convert to fraction form
    5,983.05/8,991.05 = 3,211.77/x
  3. Step 3: Cross multiply
    5,983.05x = 8,991.05 × 3,211.77
  4. Step 4: Simplify right side
    5,983.05x = 28,877,168.60
  5. Step 5: Solve for x
    x = 28,877,168.60/5,983.05
  6. Step 6: Final answer
    x = 4,826.50

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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.