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Finding the Fourth Proportional to 6,129.21, 8,457.44 and 3,772.11

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Solution

The fourth proportional to 6,129.21, 8,457.44 and 3,772.11 is: 5,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.21 : 8,457.44 = 3,772.11 : x
  2. Step 2: Convert to fraction form
    6,129.21/8,457.44 = 3,772.11/x
  3. Step 3: Cross multiply
    6,129.21x = 8,457.44 × 3,772.11
  4. Step 4: Simplify right side
    6,129.21x = 31,902,375.14
  5. Step 5: Solve for x
    x = 31,902,375.14/6,129.21
  6. Step 6: Final answer
    x = 5,204.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.