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Finding the Fourth Proportional to 5,233.81, 7,850.72 and 1,338.22

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Solution

The fourth proportional to 5,233.81, 7,850.72 and 1,338.22 is: 2,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.81 : 7,850.72 = 1,338.22 : x
  2. Step 2: Convert to fraction form
    5,233.81/7,850.72 = 1,338.22/x
  3. Step 3: Cross multiply
    5,233.81x = 7,850.72 × 1,338.22
  4. Step 4: Simplify right side
    5,233.81x = 10,505,990.52
  5. Step 5: Solve for x
    x = 10,505,990.52/5,233.81
  6. Step 6: Final answer
    x = 2,007.33

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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.