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Finding the Fourth Proportional to 3,842.45, 5,761.78 and 1,245.05

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Solution

The fourth proportional to 3,842.45, 5,761.78 and 1,245.05 is: 1,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.45 : 5,761.78 = 1,245.05 : x
  2. Step 2: Convert to fraction form
    3,842.45/5,761.78 = 1,245.05/x
  3. Step 3: Cross multiply
    3,842.45x = 5,761.78 × 1,245.05
  4. Step 4: Simplify right side
    3,842.45x = 7,173,704.19
  5. Step 5: Solve for x
    x = 7,173,704.19/3,842.45
  6. Step 6: Final answer
    x = 1,866.96

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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.