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Finding the Fourth Proportional to 3,946.37, 5,914.37 and 2,093.55

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Solution

The fourth proportional to 3,946.37, 5,914.37 and 2,093.55 is: 3,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.37 : 5,914.37 = 2,093.55 : x
  2. Step 2: Convert to fraction form
    3,946.37/5,914.37 = 2,093.55/x
  3. Step 3: Cross multiply
    3,946.37x = 5,914.37 × 2,093.55
  4. Step 4: Simplify right side
    3,946.37x = 12,382,018.85
  5. Step 5: Solve for x
    x = 12,382,018.85/3,946.37
  6. Step 6: Final answer
    x = 3,137.58

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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.