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Finding the Fourth Proportional to 3,367.83, 5,052.81 and 1,028.28

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Solution

The fourth proportional to 3,367.83, 5,052.81 and 1,028.28 is: 1,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.83 : 5,052.81 = 1,028.28 : x
  2. Step 2: Convert to fraction form
    3,367.83/5,052.81 = 1,028.28/x
  3. Step 3: Cross multiply
    3,367.83x = 5,052.81 × 1,028.28
  4. Step 4: Simplify right side
    3,367.83x = 5,195,703.47
  5. Step 5: Solve for x
    x = 5,195,703.47/3,367.83
  6. Step 6: Final answer
    x = 1,542.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.