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Finding the Fourth Proportional to 3,629.32, 5,008.58 and 2,057.48

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Solution

The fourth proportional to 3,629.32, 5,008.58 and 2,057.48 is: 2,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.32 : 5,008.58 = 2,057.48 : x
  2. Step 2: Convert to fraction form
    3,629.32/5,008.58 = 2,057.48/x
  3. Step 3: Cross multiply
    3,629.32x = 5,008.58 × 2,057.48
  4. Step 4: Simplify right side
    3,629.32x = 10,305,053.18
  5. Step 5: Solve for x
    x = 10,305,053.18/3,629.32
  6. Step 6: Final answer
    x = 2,839.39

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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.