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Finding the Fourth Proportional to 3,955.23, 5,932.17 and 1,322.37

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Solution

The fourth proportional to 3,955.23, 5,932.17 and 1,322.37 is: 1,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.23 : 5,932.17 = 1,322.37 : x
  2. Step 2: Convert to fraction form
    3,955.23/5,932.17 = 1,322.37/x
  3. Step 3: Cross multiply
    3,955.23x = 5,932.17 × 1,322.37
  4. Step 4: Simplify right side
    3,955.23x = 7,844,523.64
  5. Step 5: Solve for x
    x = 7,844,523.64/3,955.23
  6. Step 6: Final answer
    x = 1,983.33

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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.