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Finding the Fourth Proportional to 3,735.89, 5,155.49 and 2,057.27

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Solution

The fourth proportional to 3,735.89, 5,155.49 and 2,057.27 is: 2,839.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.89 : 5,155.49 = 2,057.27 : x
  2. Step 2: Convert to fraction form
    3,735.89/5,155.49 = 2,057.27/x
  3. Step 3: Cross multiply
    3,735.89x = 5,155.49 × 2,057.27
  4. Step 4: Simplify right side
    3,735.89x = 10,606,214.28
  5. Step 5: Solve for x
    x = 10,606,214.28/3,735.89
  6. Step 6: Final answer
    x = 2,839.01

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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.