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Finding the Fourth Proportional to 3,661.22, 5,491.80 and 1,196.02

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Solution

The fourth proportional to 3,661.22, 5,491.80 and 1,196.02 is: 1,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.22 : 5,491.80 = 1,196.02 : x
  2. Step 2: Convert to fraction form
    3,661.22/5,491.80 = 1,196.02/x
  3. Step 3: Cross multiply
    3,661.22x = 5,491.80 × 1,196.02
  4. Step 4: Simplify right side
    3,661.22x = 6,568,302.64
  5. Step 5: Solve for x
    x = 6,568,302.64/3,661.22
  6. Step 6: Final answer
    x = 1,794.02

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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.