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Finding the Fourth Proportional to 5,935.91, 8,194.07 and 3,698.89

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Solution

The fourth proportional to 5,935.91, 8,194.07 and 3,698.89 is: 5,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.91 : 8,194.07 = 3,698.89 : x
  2. Step 2: Convert to fraction form
    5,935.91/8,194.07 = 3,698.89/x
  3. Step 3: Cross multiply
    5,935.91x = 8,194.07 × 3,698.89
  4. Step 4: Simplify right side
    5,935.91x = 30,308,922.61
  5. Step 5: Solve for x
    x = 30,308,922.61/5,935.91
  6. Step 6: Final answer
    x = 5,106.03

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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.