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Finding the Fourth Proportional to 3,984.45, 5,975.87 and 3,786.86

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Solution

The fourth proportional to 3,984.45, 5,975.87 and 3,786.86 is: 5,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.45 : 5,975.87 = 3,786.86 : x
  2. Step 2: Convert to fraction form
    3,984.45/5,975.87 = 3,786.86/x
  3. Step 3: Cross multiply
    3,984.45x = 5,975.87 × 3,786.86
  4. Step 4: Simplify right side
    3,984.45x = 22,629,807.48
  5. Step 5: Solve for x
    x = 22,629,807.48/3,984.45
  6. Step 6: Final answer
    x = 5,679.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.