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Finding the Fourth Proportional to 3,777.98, 5,213.82 and 2,362.54

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Solution

The fourth proportional to 3,777.98, 5,213.82 and 2,362.54 is: 3,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.98 : 5,213.82 = 2,362.54 : x
  2. Step 2: Convert to fraction form
    3,777.98/5,213.82 = 2,362.54/x
  3. Step 3: Cross multiply
    3,777.98x = 5,213.82 × 2,362.54
  4. Step 4: Simplify right side
    3,777.98x = 12,317,858.30
  5. Step 5: Solve for x
    x = 12,317,858.30/3,777.98
  6. Step 6: Final answer
    x = 3,260.44

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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.