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Finding the Fourth Proportional to 4,097.67, 6,137.28 and 2,709.09

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Solution

The fourth proportional to 4,097.67, 6,137.28 and 2,709.09 is: 4,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.67 : 6,137.28 = 2,709.09 : x
  2. Step 2: Convert to fraction form
    4,097.67/6,137.28 = 2,709.09/x
  3. Step 3: Cross multiply
    4,097.67x = 6,137.28 × 2,709.09
  4. Step 4: Simplify right side
    4,097.67x = 16,626,443.88
  5. Step 5: Solve for x
    x = 16,626,443.88/4,097.67
  6. Step 6: Final answer
    x = 4,057.54

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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.