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Finding the Fourth Proportional to 6,338.86, 8,746.79 and 3,821.99

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Solution

The fourth proportional to 6,338.86, 8,746.79 and 3,821.99 is: 5,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.86 : 8,746.79 = 3,821.99 : x
  2. Step 2: Convert to fraction form
    6,338.86/8,746.79 = 3,821.99/x
  3. Step 3: Cross multiply
    6,338.86x = 8,746.79 × 3,821.99
  4. Step 4: Simplify right side
    6,338.86x = 33,430,081.07
  5. Step 5: Solve for x
    x = 33,430,081.07/6,338.86
  6. Step 6: Final answer
    x = 5,273.83

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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.