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Finding the Fourth Proportional to 3,661.42, 5,491.40 and 1,321.36

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Solution

The fourth proportional to 3,661.42, 5,491.40 and 1,321.36 is: 1,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.42 : 5,491.40 = 1,321.36 : x
  2. Step 2: Convert to fraction form
    3,661.42/5,491.40 = 1,321.36/x
  3. Step 3: Cross multiply
    3,661.42x = 5,491.40 × 1,321.36
  4. Step 4: Simplify right side
    3,661.42x = 7,256,116.30
  5. Step 5: Solve for x
    x = 7,256,116.30/3,661.42
  6. Step 6: Final answer
    x = 1,981.78

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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.