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Finding the Fourth Proportional to 3,771.53, 5,204.71 and 2,092.96

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Solution

The fourth proportional to 3,771.53, 5,204.71 and 2,092.96 is: 2,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.53 : 5,204.71 = 2,092.96 : x
  2. Step 2: Convert to fraction form
    3,771.53/5,204.71 = 2,092.96/x
  3. Step 3: Cross multiply
    3,771.53x = 5,204.71 × 2,092.96
  4. Step 4: Simplify right side
    3,771.53x = 10,893,213.35
  5. Step 5: Solve for x
    x = 10,893,213.35/3,771.53
  6. Step 6: Final answer
    x = 2,888.27

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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.