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Finding the Fourth Proportional to 3,791.92, 5,688.42 and 1,328.18

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Solution

The fourth proportional to 3,791.92, 5,688.42 and 1,328.18 is: 1,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.92 : 5,688.42 = 1,328.18 : x
  2. Step 2: Convert to fraction form
    3,791.92/5,688.42 = 1,328.18/x
  3. Step 3: Cross multiply
    3,791.92x = 5,688.42 × 1,328.18
  4. Step 4: Simplify right side
    3,791.92x = 7,555,245.68
  5. Step 5: Solve for x
    x = 7,555,245.68/3,791.92
  6. Step 6: Final answer
    x = 1,992.46

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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.