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Finding the Fourth Proportional to 4,937.25, 6,813.41 and 2,729.25

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Solution

The fourth proportional to 4,937.25, 6,813.41 and 2,729.25 is: 3,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.25 : 6,813.41 = 2,729.25 : x
  2. Step 2: Convert to fraction form
    4,937.25/6,813.41 = 2,729.25/x
  3. Step 3: Cross multiply
    4,937.25x = 6,813.41 × 2,729.25
  4. Step 4: Simplify right side
    4,937.25x = 18,595,499.24
  5. Step 5: Solve for x
    x = 18,595,499.24/4,937.25
  6. Step 6: Final answer
    x = 3,766.37

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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.