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Finding the Fourth Proportional to 3,736.16, 5,155.86 and 2,057.54

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Solution

The fourth proportional to 3,736.16, 5,155.86 and 2,057.54 is: 2,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.16 : 5,155.86 = 2,057.54 : x
  2. Step 2: Convert to fraction form
    3,736.16/5,155.86 = 2,057.54/x
  3. Step 3: Cross multiply
    3,736.16x = 5,155.86 × 2,057.54
  4. Step 4: Simplify right side
    3,736.16x = 10,608,388.18
  5. Step 5: Solve for x
    x = 10,608,388.18/3,736.16
  6. Step 6: Final answer
    x = 2,839.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.