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Finding the Fourth Proportional to 3,944.00, 5,916 and 1,022.31

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Solution

The fourth proportional to 3,944.00, 5,916 and 1,022.31 is: 1,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.00 : 5,916 = 1,022.31 : x
  2. Step 2: Convert to fraction form
    3,944.00/5,916 = 1,022.31/x
  3. Step 3: Cross multiply
    3,944.00x = 5,916 × 1,022.31
  4. Step 4: Simplify right side
    3,944.00x = 6,047,993.36
  5. Step 5: Solve for x
    x = 6,047,993.36/3,944.00
  6. Step 6: Final answer
    x = 1,533.47

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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.