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Finding the Fourth Proportional to 4,816.87, 7,213.91 and 4,106.09

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Solution

The fourth proportional to 4,816.87, 7,213.91 and 4,106.09 is: 6,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.87 : 7,213.91 = 4,106.09 : x
  2. Step 2: Convert to fraction form
    4,816.87/7,213.91 = 4,106.09/x
  3. Step 3: Cross multiply
    4,816.87x = 7,213.91 × 4,106.09
  4. Step 4: Simplify right side
    4,816.87x = 29,620,984.31
  5. Step 5: Solve for x
    x = 29,620,984.31/4,816.87
  6. Step 6: Final answer
    x = 6,149.43

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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.