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Finding the Fourth Proportional to 3,662.06, 5,492.91 and 1,196.56

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Solution

The fourth proportional to 3,662.06, 5,492.91 and 1,196.56 is: 1,794.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.06 : 5,492.91 = 1,196.56 : x
  2. Step 2: Convert to fraction form
    3,662.06/5,492.91 = 1,196.56/x
  3. Step 3: Cross multiply
    3,662.06x = 5,492.91 × 1,196.56
  4. Step 4: Simplify right side
    3,662.06x = 6,572,576.85
  5. Step 5: Solve for x
    x = 6,572,576.85/3,662.06
  6. Step 6: Final answer
    x = 1,794.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.