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Finding the Fourth Proportional to 4,606.20, 6,896.52 and 3,794.22

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Solution

The fourth proportional to 4,606.20, 6,896.52 and 3,794.22 is: 5,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.20 : 6,896.52 = 3,794.22 : x
  2. Step 2: Convert to fraction form
    4,606.20/6,896.52 = 3,794.22/x
  3. Step 3: Cross multiply
    4,606.20x = 6,896.52 × 3,794.22
  4. Step 4: Simplify right side
    4,606.20x = 26,166,914.11
  5. Step 5: Solve for x
    x = 26,166,914.11/4,606.20
  6. Step 6: Final answer
    x = 5,680.80

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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.