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Finding the Fourth Proportional to 4,832.89, 7,245.78 and 1,544.09

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Solution

The fourth proportional to 4,832.89, 7,245.78 and 1,544.09 is: 2,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.89 : 7,245.78 = 1,544.09 : x
  2. Step 2: Convert to fraction form
    4,832.89/7,245.78 = 1,544.09/x
  3. Step 3: Cross multiply
    4,832.89x = 7,245.78 × 1,544.09
  4. Step 4: Simplify right side
    4,832.89x = 11,188,106.00
  5. Step 5: Solve for x
    x = 11,188,106.00/4,832.89
  6. Step 6: Final answer
    x = 2,314.99

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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.