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Finding the Fourth Proportional to 5,408.14, 8,112.19 and 1,304.14

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Solution

The fourth proportional to 5,408.14, 8,112.19 and 1,304.14 is: 1,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.14 : 8,112.19 = 1,304.14 : x
  2. Step 2: Convert to fraction form
    5,408.14/8,112.19 = 1,304.14/x
  3. Step 3: Cross multiply
    5,408.14x = 8,112.19 × 1,304.14
  4. Step 4: Simplify right side
    5,408.14x = 10,579,431.47
  5. Step 5: Solve for x
    x = 10,579,431.47/5,408.14
  6. Step 6: Final answer
    x = 1,956.21

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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.