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Finding the Fourth Proportional to 3,989.75, 5,984.76 and 2,039.67

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Solution

The fourth proportional to 3,989.75, 5,984.76 and 2,039.67 is: 3,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.75 : 5,984.76 = 2,039.67 : x
  2. Step 2: Convert to fraction form
    3,989.75/5,984.76 = 2,039.67/x
  3. Step 3: Cross multiply
    3,989.75x = 5,984.76 × 2,039.67
  4. Step 4: Simplify right side
    3,989.75x = 12,206,935.43
  5. Step 5: Solve for x
    x = 12,206,935.43/3,989.75
  6. Step 6: Final answer
    x = 3,059.58

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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.