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Finding the Fourth Proportional to 5,418.82, 8,128.21 and 1,314.82

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Solution

The fourth proportional to 5,418.82, 8,128.21 and 1,314.82 is: 1,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.82 : 8,128.21 = 1,314.82 : x
  2. Step 2: Convert to fraction form
    5,418.82/8,128.21 = 1,314.82/x
  3. Step 3: Cross multiply
    5,418.82x = 8,128.21 × 1,314.82
  4. Step 4: Simplify right side
    5,418.82x = 10,687,133.07
  5. Step 5: Solve for x
    x = 10,687,133.07/5,418.82
  6. Step 6: Final answer
    x = 1,972.23

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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.