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Finding the Fourth Proportional to 3,777.81, 5,662.81 and 2,735.23

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Solution

The fourth proportional to 3,777.81, 5,662.81 and 2,735.23 is: 4,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.81 : 5,662.81 = 2,735.23 : x
  2. Step 2: Convert to fraction form
    3,777.81/5,662.81 = 2,735.23/x
  3. Step 3: Cross multiply
    3,777.81x = 5,662.81 × 2,735.23
  4. Step 4: Simplify right side
    3,777.81x = 15,489,077.06
  5. Step 5: Solve for x
    x = 15,489,077.06/3,777.81
  6. Step 6: Final answer
    x = 4,100.01

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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.