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Finding the Fourth Proportional to 4,806.86, 6,628.41 and 3,796.89

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Solution

The fourth proportional to 4,806.86, 6,628.41 and 3,796.89 is: 5,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.86 : 6,628.41 = 3,796.89 : x
  2. Step 2: Convert to fraction form
    4,806.86/6,628.41 = 3,796.89/x
  3. Step 3: Cross multiply
    4,806.86x = 6,628.41 × 3,796.89
  4. Step 4: Simplify right side
    4,806.86x = 25,167,343.64
  5. Step 5: Solve for x
    x = 25,167,343.64/4,806.86
  6. Step 6: Final answer
    x = 5,235.71

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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.