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Finding the Fourth Proportional to 6,049.44, 8,361.36 and 5,582.88

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Solution

The fourth proportional to 6,049.44, 8,361.36 and 5,582.88 is: 7,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.44 : 8,361.36 = 5,582.88 : x
  2. Step 2: Convert to fraction form
    6,049.44/8,361.36 = 5,582.88/x
  3. Step 3: Cross multiply
    6,049.44x = 8,361.36 × 5,582.88
  4. Step 4: Simplify right side
    6,049.44x = 46,680,469.52
  5. Step 5: Solve for x
    x = 46,680,469.52/6,049.44
  6. Step 6: Final answer
    x = 7,716.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.