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Finding the Fourth Proportional to 3,660.53, 5,491.78 and 1,195.02

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Solution

The fourth proportional to 3,660.53, 5,491.78 and 1,195.02 is: 1,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.53 : 5,491.78 = 1,195.02 : x
  2. Step 2: Convert to fraction form
    3,660.53/5,491.78 = 1,195.02/x
  3. Step 3: Cross multiply
    3,660.53x = 5,491.78 × 1,195.02
  4. Step 4: Simplify right side
    3,660.53x = 6,562,783.95
  5. Step 5: Solve for x
    x = 6,562,783.95/3,660.53
  6. Step 6: Final answer
    x = 1,792.85

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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.