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Finding the Fourth Proportional to 3,697.20, 5,544.18 and 1,099.62

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Solution

The fourth proportional to 3,697.20, 5,544.18 and 1,099.62 is: 1,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.20 : 5,544.18 = 1,099.62 : x
  2. Step 2: Convert to fraction form
    3,697.20/5,544.18 = 1,099.62/x
  3. Step 3: Cross multiply
    3,697.20x = 5,544.18 × 1,099.62
  4. Step 4: Simplify right side
    3,697.20x = 6,096,491.21
  5. Step 5: Solve for x
    x = 6,096,491.21/3,697.20
  6. Step 6: Final answer
    x = 1,648.95

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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.