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Finding the Fourth Proportional to 3,401.86, 5,092.95 and 1,992.01

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Solution

The fourth proportional to 3,401.86, 5,092.95 and 1,992.01 is: 2,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.86 : 5,092.95 = 1,992.01 : x
  2. Step 2: Convert to fraction form
    3,401.86/5,092.95 = 1,992.01/x
  3. Step 3: Cross multiply
    3,401.86x = 5,092.95 × 1,992.01
  4. Step 4: Simplify right side
    3,401.86x = 10,145,207.33
  5. Step 5: Solve for x
    x = 10,145,207.33/3,401.86
  6. Step 6: Final answer
    x = 2,982.25

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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.