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Finding the Fourth Proportional to 3,771.46, 5,204.62 and 2,092.90

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Solution

The fourth proportional to 3,771.46, 5,204.62 and 2,092.90 is: 2,888.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.46 : 5,204.62 = 2,092.90 : x
  2. Step 2: Convert to fraction form
    3,771.46/5,204.62 = 2,092.90/x
  3. Step 3: Cross multiply
    3,771.46x = 5,204.62 × 2,092.90
  4. Step 4: Simplify right side
    3,771.46x = 10,892,749.20
  5. Step 5: Solve for x
    x = 10,892,749.20/3,771.46
  6. Step 6: Final answer
    x = 2,888.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.