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Finding the Fourth Proportional to 5,469.87, 8,185.37 and 4,005.39

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Solution

The fourth proportional to 5,469.87, 8,185.37 and 4,005.39 is: 5,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.87 : 8,185.37 = 4,005.39 : x
  2. Step 2: Convert to fraction form
    5,469.87/8,185.37 = 4,005.39/x
  3. Step 3: Cross multiply
    5,469.87x = 8,185.37 × 4,005.39
  4. Step 4: Simplify right side
    5,469.87x = 32,785,579.12
  5. Step 5: Solve for x
    x = 32,785,579.12/5,469.87
  6. Step 6: Final answer
    x = 5,993.85

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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.