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Finding the Fourth Proportional to 3,955.21, 5,932.74 and 1,181.89

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Solution

The fourth proportional to 3,955.21, 5,932.74 and 1,181.89 is: 1,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.21 : 5,932.74 = 1,181.89 : x
  2. Step 2: Convert to fraction form
    3,955.21/5,932.74 = 1,181.89/x
  3. Step 3: Cross multiply
    3,955.21x = 5,932.74 × 1,181.89
  4. Step 4: Simplify right side
    3,955.21x = 7,011,846.08
  5. Step 5: Solve for x
    x = 7,011,846.08/3,955.21
  6. Step 6: Final answer
    x = 1,772.81

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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.