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Finding the Fourth Proportional to 6,485.08, 8,949.42 and 3,833.80

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Solution

The fourth proportional to 6,485.08, 8,949.42 and 3,833.80 is: 5,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.08 : 8,949.42 = 3,833.80 : x
  2. Step 2: Convert to fraction form
    6,485.08/8,949.42 = 3,833.80/x
  3. Step 3: Cross multiply
    6,485.08x = 8,949.42 × 3,833.80
  4. Step 4: Simplify right side
    6,485.08x = 34,310,286.40
  5. Step 5: Solve for x
    x = 34,310,286.40/6,485.08
  6. Step 6: Final answer
    x = 5,290.65

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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.