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Finding the Fourth Proportional to 5,989.65, 8,983.94 and 2,093.82

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Solution

The fourth proportional to 5,989.65, 8,983.94 and 2,093.82 is: 3,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.65 : 8,983.94 = 2,093.82 : x
  2. Step 2: Convert to fraction form
    5,989.65/8,983.94 = 2,093.82/x
  3. Step 3: Cross multiply
    5,989.65x = 8,983.94 × 2,093.82
  4. Step 4: Simplify right side
    5,989.65x = 18,810,742.78
  5. Step 5: Solve for x
    x = 18,810,742.78/5,989.65
  6. Step 6: Final answer
    x = 3,140.54

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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.