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Finding the Fourth Proportional to 3,245.44, 4,868.97 and 936.94

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Solution

The fourth proportional to 3,245.44, 4,868.97 and 936.94 is: 1,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.44 : 4,868.97 = 936.94 : x
  2. Step 2: Convert to fraction form
    3,245.44/4,868.97 = 936.94/x
  3. Step 3: Cross multiply
    3,245.44x = 4,868.97 × 936.94
  4. Step 4: Simplify right side
    3,245.44x = 4,561,917.07
  5. Step 5: Solve for x
    x = 4,561,917.07/3,245.44
  6. Step 6: Final answer
    x = 1,405.64

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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.