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Finding the Fourth Proportional to 3,268.50, 4,908.96 and 3,135.42

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Solution

The fourth proportional to 3,268.50, 4,908.96 and 3,135.42 is: 4,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.50 : 4,908.96 = 3,135.42 : x
  2. Step 2: Convert to fraction form
    3,268.50/4,908.96 = 3,135.42/x
  3. Step 3: Cross multiply
    3,268.50x = 4,908.96 × 3,135.42
  4. Step 4: Simplify right side
    3,268.50x = 15,391,651.36
  5. Step 5: Solve for x
    x = 15,391,651.36/3,268.50
  6. Step 6: Final answer
    x = 4,709.09

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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.