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Finding the Fourth Proportional to 6,102.90, 8,426.03 and 3,749.09

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Solution

The fourth proportional to 6,102.90, 8,426.03 and 3,749.09 is: 5,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.90 : 8,426.03 = 3,749.09 : x
  2. Step 2: Convert to fraction form
    6,102.90/8,426.03 = 3,749.09/x
  3. Step 3: Cross multiply
    6,102.90x = 8,426.03 × 3,749.09
  4. Step 4: Simplify right side
    6,102.90x = 31,589,883.94
  5. Step 5: Solve for x
    x = 31,589,883.94/6,102.90
  6. Step 6: Final answer
    x = 5,176.21

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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.