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Finding the Fourth Proportional to 3,998.92, 5,998.92 and 1,401.28

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Solution

The fourth proportional to 3,998.92, 5,998.92 and 1,401.28 is: 2,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.92 : 5,998.92 = 1,401.28 : x
  2. Step 2: Convert to fraction form
    3,998.92/5,998.92 = 1,401.28/x
  3. Step 3: Cross multiply
    3,998.92x = 5,998.92 × 1,401.28
  4. Step 4: Simplify right side
    3,998.92x = 8,406,166.62
  5. Step 5: Solve for x
    x = 8,406,166.62/3,998.92
  6. Step 6: Final answer
    x = 2,102.11

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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.