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Finding the Fourth Proportional to 4,912.56, 7,370.01 and 1,449.81

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Solution

The fourth proportional to 4,912.56, 7,370.01 and 1,449.81 is: 2,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.56 : 7,370.01 = 1,449.81 : x
  2. Step 2: Convert to fraction form
    4,912.56/7,370.01 = 1,449.81/x
  3. Step 3: Cross multiply
    4,912.56x = 7,370.01 × 1,449.81
  4. Step 4: Simplify right side
    4,912.56x = 10,685,114.20
  5. Step 5: Solve for x
    x = 10,685,114.20/4,912.56
  6. Step 6: Final answer
    x = 2,175.06

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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.