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Finding the Fourth Proportional to 5,408.42, 8,112.63 and 1,304.42

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Solution

The fourth proportional to 5,408.42, 8,112.63 and 1,304.42 is: 1,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.42 : 8,112.63 = 1,304.42 : x
  2. Step 2: Convert to fraction form
    5,408.42/8,112.63 = 1,304.42/x
  3. Step 3: Cross multiply
    5,408.42x = 8,112.63 × 1,304.42
  4. Step 4: Simplify right side
    5,408.42x = 10,582,276.82
  5. Step 5: Solve for x
    x = 10,582,276.82/5,408.42
  6. Step 6: Final answer
    x = 1,956.63

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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.