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Finding the Fourth Proportional to 3,796.33, 5,693.85 and 1,022.38

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Solution

The fourth proportional to 3,796.33, 5,693.85 and 1,022.38 is: 1,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.33 : 5,693.85 = 1,022.38 : x
  2. Step 2: Convert to fraction form
    3,796.33/5,693.85 = 1,022.38/x
  3. Step 3: Cross multiply
    3,796.33x = 5,693.85 × 1,022.38
  4. Step 4: Simplify right side
    3,796.33x = 5,821,278.36
  5. Step 5: Solve for x
    x = 5,821,278.36/3,796.33
  6. Step 6: Final answer
    x = 1,533.40

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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.