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Finding the Fourth Proportional to 4,900.44, 7,340.73 and 3,914.94

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Solution

The fourth proportional to 4,900.44, 7,340.73 and 3,914.94 is: 5,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.44 : 7,340.73 = 3,914.94 : x
  2. Step 2: Convert to fraction form
    4,900.44/7,340.73 = 3,914.94/x
  3. Step 3: Cross multiply
    4,900.44x = 7,340.73 × 3,914.94
  4. Step 4: Simplify right side
    4,900.44x = 28,738,517.51
  5. Step 5: Solve for x
    x = 28,738,517.51/4,900.44
  6. Step 6: Final answer
    x = 5,864.48

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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.