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Finding the Fourth Proportional to 3,468.96, 5,208.48 and 2,166.48

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Solution

The fourth proportional to 3,468.96, 5,208.48 and 2,166.48 is: 3,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.96 : 5,208.48 = 2,166.48 : x
  2. Step 2: Convert to fraction form
    3,468.96/5,208.48 = 2,166.48/x
  3. Step 3: Cross multiply
    3,468.96x = 5,208.48 × 2,166.48
  4. Step 4: Simplify right side
    3,468.96x = 11,284,067.75
  5. Step 5: Solve for x
    x = 11,284,067.75/3,468.96
  6. Step 6: Final answer
    x = 3,252.87

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1.5x scale

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.