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Finding the Fourth Proportional to 3,962.52, 5,467.62 and 2,546.52

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Solution

The fourth proportional to 3,962.52, 5,467.62 and 2,546.52 is: 3,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.52 : 5,467.62 = 2,546.52 : x
  2. Step 2: Convert to fraction form
    3,962.52/5,467.62 = 2,546.52/x
  3. Step 3: Cross multiply
    3,962.52x = 5,467.62 × 2,546.52
  4. Step 4: Simplify right side
    3,962.52x = 13,923,403.68
  5. Step 5: Solve for x
    x = 13,923,403.68/3,962.52
  6. Step 6: Final answer
    x = 3,513.77

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1.5x scale

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.