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Finding the Fourth Proportional to 4,804.56, 7,205.94 and 2,206.86

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Solution

The fourth proportional to 4,804.56, 7,205.94 and 2,206.86 is: 3,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.56 : 7,205.94 = 2,206.86 : x
  2. Step 2: Convert to fraction form
    4,804.56/7,205.94 = 2,206.86/x
  3. Step 3: Cross multiply
    4,804.56x = 7,205.94 × 2,206.86
  4. Step 4: Simplify right side
    4,804.56x = 15,902,500.75
  5. Step 5: Solve for x
    x = 15,902,500.75/4,804.56
  6. Step 6: Final answer
    x = 3,309.88

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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.