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Finding the Fourth Proportional to 3,576, 4,936.50 and 2,251.65

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Solution

The fourth proportional to 3,576, 4,936.50 and 2,251.65 is: 3,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576 : 4,936.50 = 2,251.65 : x
  2. Step 2: Convert to fraction form
    3,576/4,936.50 = 2,251.65/x
  3. Step 3: Cross multiply
    3,576x = 4,936.50 × 2,251.65
  4. Step 4: Simplify right side
    3,576x = 11,115,258.97
  5. Step 5: Solve for x
    x = 11,115,258.97/3,576
  6. Step 6: Final answer
    x = 3,108.29

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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.