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Finding the Fourth Proportional to 5,418.90, 8,126.46 and 1,908

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Solution

The fourth proportional to 5,418.90, 8,126.46 and 1,908 is: 2,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.90 : 8,126.46 = 1,908 : x
  2. Step 2: Convert to fraction form
    5,418.90/8,126.46 = 1,908/x
  3. Step 3: Cross multiply
    5,418.90x = 8,126.46 × 1,908
  4. Step 4: Simplify right side
    5,418.90x = 15,505,285.68
  5. Step 5: Solve for x
    x = 15,505,285.68/5,418.90
  6. Step 6: Final answer
    x = 2,861.33

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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.