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Finding the Fourth Proportional to 3,227.75, 4,841.63 and 795.75

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Solution

The fourth proportional to 3,227.75, 4,841.63 and 795.75 is: 1,193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.75 : 4,841.63 = 795.75 : x
  2. Step 2: Convert to fraction form
    3,227.75/4,841.63 = 795.75/x
  3. Step 3: Cross multiply
    3,227.75x = 4,841.63 × 795.75
  4. Step 4: Simplify right side
    3,227.75x = 3,852,727.07
  5. Step 5: Solve for x
    x = 3,852,727.07/3,227.75
  6. Step 6: Final answer
    x = 1,193.63

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Similar ratio
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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.