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Finding the Fourth Proportional to 3,906.49, 5,845.75 and 3,645.80

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Solution

The fourth proportional to 3,906.49, 5,845.75 and 3,645.80 is: 5,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.49 : 5,845.75 = 3,645.80 : x
  2. Step 2: Convert to fraction form
    3,906.49/5,845.75 = 3,645.80/x
  3. Step 3: Cross multiply
    3,906.49x = 5,845.75 × 3,645.80
  4. Step 4: Simplify right side
    3,906.49x = 21,312,435.35
  5. Step 5: Solve for x
    x = 21,312,435.35/3,906.49
  6. Step 6: Final answer
    x = 5,455.65

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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.