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Finding the Fourth Proportional to 3,504, 5,256 and 1,965.12

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Solution

The fourth proportional to 3,504, 5,256 and 1,965.12 is: 2,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504 : 5,256 = 1,965.12 : x
  2. Step 2: Convert to fraction form
    3,504/5,256 = 1,965.12/x
  3. Step 3: Cross multiply
    3,504x = 5,256 × 1,965.12
  4. Step 4: Simplify right side
    3,504x = 10,328,670.72
  5. Step 5: Solve for x
    x = 10,328,670.72/3,504
  6. Step 6: Final answer
    x = 2,947.68

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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.