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Finding the Fourth Proportional to 3,229.51, 4,843.68 and 2,056.03

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Solution

The fourth proportional to 3,229.51, 4,843.68 and 2,056.03 is: 3,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.51 : 4,843.68 = 2,056.03 : x
  2. Step 2: Convert to fraction form
    3,229.51/4,843.68 = 2,056.03/x
  3. Step 3: Cross multiply
    3,229.51x = 4,843.68 × 2,056.03
  4. Step 4: Simplify right side
    3,229.51x = 9,958,751.39
  5. Step 5: Solve for x
    x = 9,958,751.39/3,229.51
  6. Step 6: Final answer
    x = 3,083.67

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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.