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Finding the Fourth Proportional to 6,000.75, 8,277.37 and 3,984.26

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Solution

The fourth proportional to 6,000.75, 8,277.37 and 3,984.26 is: 5,495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.75 : 8,277.37 = 3,984.26 : x
  2. Step 2: Convert to fraction form
    6,000.75/8,277.37 = 3,984.26/x
  3. Step 3: Cross multiply
    6,000.75x = 8,277.37 × 3,984.26
  4. Step 4: Simplify right side
    6,000.75x = 32,979,142.85
  5. Step 5: Solve for x
    x = 32,979,142.85/6,000.75
  6. Step 6: Final answer
    x = 5,495.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.