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Finding the Fourth Proportional to 4,093.44, 6,137.40 and 1,900.96

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Solution

The fourth proportional to 4,093.44, 6,137.40 and 1,900.96 is: 2,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.44 : 6,137.40 = 1,900.96 : x
  2. Step 2: Convert to fraction form
    4,093.44/6,137.40 = 1,900.96/x
  3. Step 3: Cross multiply
    4,093.44x = 6,137.40 × 1,900.96
  4. Step 4: Simplify right side
    4,093.44x = 11,666,951.90
  5. Step 5: Solve for x
    x = 11,666,951.90/4,093.44
  6. Step 6: Final answer
    x = 2,850.16

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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.