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Finding the Fourth Proportional to 3,661.56, 5,491.64 and 1,196.46

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Solution

The fourth proportional to 3,661.56, 5,491.64 and 1,196.46 is: 1,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.56 : 5,491.64 = 1,196.46 : x
  2. Step 2: Convert to fraction form
    3,661.56/5,491.64 = 1,196.46/x
  3. Step 3: Cross multiply
    3,661.56x = 5,491.64 × 1,196.46
  4. Step 4: Simplify right side
    3,661.56x = 6,570,527.59
  5. Step 5: Solve for x
    x = 6,570,527.59/3,661.56
  6. Step 6: Final answer
    x = 1,794.46

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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.