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Finding the Fourth Proportional to 3,858.41, 5,783.97 and 1,392.57

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Solution

The fourth proportional to 3,858.41, 5,783.97 and 1,392.57 is: 2,087.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.41 : 5,783.97 = 1,392.57 : x
  2. Step 2: Convert to fraction form
    3,858.41/5,783.97 = 1,392.57/x
  3. Step 3: Cross multiply
    3,858.41x = 5,783.97 × 1,392.57
  4. Step 4: Simplify right side
    3,858.41x = 8,054,576.14
  5. Step 5: Solve for x
    x = 8,054,576.14/3,858.41
  6. Step 6: Final answer
    x = 2,087.54

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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.