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Finding the Fourth Proportional to 4,804.86, 6,629.82 and 2,815.44

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Solution

The fourth proportional to 4,804.86, 6,629.82 and 2,815.44 is: 3,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.86 : 6,629.82 = 2,815.44 : x
  2. Step 2: Convert to fraction form
    4,804.86/6,629.82 = 2,815.44/x
  3. Step 3: Cross multiply
    4,804.86x = 6,629.82 × 2,815.44
  4. Step 4: Simplify right side
    4,804.86x = 18,665,860.42
  5. Step 5: Solve for x
    x = 18,665,860.42/4,804.86
  6. Step 6: Final answer
    x = 3,884.79

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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.