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Finding the Fourth Proportional to 4,914.94, 6,782 and 2,790.31

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Solution

The fourth proportional to 4,914.94, 6,782 and 2,790.31 is: 3,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.94 : 6,782 = 2,790.31 : x
  2. Step 2: Convert to fraction form
    4,914.94/6,782 = 2,790.31/x
  3. Step 3: Cross multiply
    4,914.94x = 6,782 × 2,790.31
  4. Step 4: Simplify right side
    4,914.94x = 18,923,882.42
  5. Step 5: Solve for x
    x = 18,923,882.42/4,914.94
  6. Step 6: Final answer
    x = 3,850.28

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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.