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Finding the Fourth Proportional to 3,401.38, 5,101.80 and 1,092.70

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Solution

The fourth proportional to 3,401.38, 5,101.80 and 1,092.70 is: 1,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.38 : 5,101.80 = 1,092.70 : x
  2. Step 2: Convert to fraction form
    3,401.38/5,101.80 = 1,092.70/x
  3. Step 3: Cross multiply
    3,401.38x = 5,101.80 × 1,092.70
  4. Step 4: Simplify right side
    3,401.38x = 5,574,736.86
  5. Step 5: Solve for x
    x = 5,574,736.86/3,401.38
  6. Step 6: Final answer
    x = 1,638.96

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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.