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Finding the Fourth Proportional to 3,213.94, 4,821.11 and 1,105.69

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Solution

The fourth proportional to 3,213.94, 4,821.11 and 1,105.69 is: 1,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.94 : 4,821.11 = 1,105.69 : x
  2. Step 2: Convert to fraction form
    3,213.94/4,821.11 = 1,105.69/x
  3. Step 3: Cross multiply
    3,213.94x = 4,821.11 × 1,105.69
  4. Step 4: Simplify right side
    3,213.94x = 5,330,653.12
  5. Step 5: Solve for x
    x = 5,330,653.12/3,213.94
  6. Step 6: Final answer
    x = 1,658.60

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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.