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Finding the Fourth Proportional to 3,537, 5,305.50 and 1,998.12

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Solution

The fourth proportional to 3,537, 5,305.50 and 1,998.12 is: 2,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537 : 5,305.50 = 1,998.12 : x
  2. Step 2: Convert to fraction form
    3,537/5,305.50 = 1,998.12/x
  3. Step 3: Cross multiply
    3,537x = 5,305.50 × 1,998.12
  4. Step 4: Simplify right side
    3,537x = 10,601,025.66
  5. Step 5: Solve for x
    x = 10,601,025.66/3,537
  6. Step 6: Final answer
    x = 2,997.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.