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Finding the Fourth Proportional to 3,512.36, 5,274 and 3,356.54

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Solution

The fourth proportional to 3,512.36, 5,274 and 3,356.54 is: 5,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.36 : 5,274 = 3,356.54 : x
  2. Step 2: Convert to fraction form
    3,512.36/5,274 = 3,356.54/x
  3. Step 3: Cross multiply
    3,512.36x = 5,274 × 3,356.54
  4. Step 4: Simplify right side
    3,512.36x = 17,702,391.96
  5. Step 5: Solve for x
    x = 17,702,391.96/3,512.36
  6. Step 6: Final answer
    x = 5,040.03

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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.