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Finding the Fourth Proportional to 5,408.44, 8,096.84 and 4,889.63

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Solution

The fourth proportional to 5,408.44, 8,096.84 and 4,889.63 is: 7,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.44 : 8,096.84 = 4,889.63 : x
  2. Step 2: Convert to fraction form
    5,408.44/8,096.84 = 4,889.63/x
  3. Step 3: Cross multiply
    5,408.44x = 8,096.84 × 4,889.63
  4. Step 4: Simplify right side
    5,408.44x = 39,590,527.32
  5. Step 5: Solve for x
    x = 39,590,527.32/5,408.44
  6. Step 6: Final answer
    x = 7,320.14

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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.