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Finding the Fourth Proportional to 3,998.57, 5,996.94 and 1,401.50

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Solution

The fourth proportional to 3,998.57, 5,996.94 and 1,401.50 is: 2,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.57 : 5,996.94 = 1,401.50 : x
  2. Step 2: Convert to fraction form
    3,998.57/5,996.94 = 1,401.50/x
  3. Step 3: Cross multiply
    3,998.57x = 5,996.94 × 1,401.50
  4. Step 4: Simplify right side
    3,998.57x = 8,404,721.15
  5. Step 5: Solve for x
    x = 8,404,721.15/3,998.57
  6. Step 6: Final answer
    x = 2,101.93

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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.