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Finding the Fourth Proportional to 3,795.57, 5,693.76 and 1,198.31

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Solution

The fourth proportional to 3,795.57, 5,693.76 and 1,198.31 is: 1,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.57 : 5,693.76 = 1,198.31 : x
  2. Step 2: Convert to fraction form
    3,795.57/5,693.76 = 1,198.31/x
  3. Step 3: Cross multiply
    3,795.57x = 5,693.76 × 1,198.31
  4. Step 4: Simplify right side
    3,795.57x = 6,822,861.08
  5. Step 5: Solve for x
    x = 6,822,861.08/3,795.57
  6. Step 6: Final answer
    x = 1,797.59

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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.