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Finding the Fourth Proportional to 3,735.78, 5,155.50 and 2,057.26

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Solution

The fourth proportional to 3,735.78, 5,155.50 and 2,057.26 is: 2,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.78 : 5,155.50 = 2,057.26 : x
  2. Step 2: Convert to fraction form
    3,735.78/5,155.50 = 2,057.26/x
  3. Step 3: Cross multiply
    3,735.78x = 5,155.50 × 2,057.26
  4. Step 4: Simplify right side
    3,735.78x = 10,606,203.93
  5. Step 5: Solve for x
    x = 10,606,203.93/3,735.78
  6. Step 6: Final answer
    x = 2,839.09

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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.