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Finding the Fourth Proportional to 3,698.46, 5,105.75 and 2,857.27

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Solution

The fourth proportional to 3,698.46, 5,105.75 and 2,857.27 is: 3,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.46 : 5,105.75 = 2,857.27 : x
  2. Step 2: Convert to fraction form
    3,698.46/5,105.75 = 2,857.27/x
  3. Step 3: Cross multiply
    3,698.46x = 5,105.75 × 2,857.27
  4. Step 4: Simplify right side
    3,698.46x = 14,588,506.30
  5. Step 5: Solve for x
    x = 14,588,506.30/3,698.46
  6. Step 6: Final answer
    x = 3,944.48

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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.