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Finding the Fourth Proportional to 4,789.45, 7,171.38 and 2,813.44

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Solution

The fourth proportional to 4,789.45, 7,171.38 and 2,813.44 is: 4,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.45 : 7,171.38 = 2,813.44 : x
  2. Step 2: Convert to fraction form
    4,789.45/7,171.38 = 2,813.44/x
  3. Step 3: Cross multiply
    4,789.45x = 7,171.38 × 2,813.44
  4. Step 4: Simplify right side
    4,789.45x = 20,176,247.35
  5. Step 5: Solve for x
    x = 20,176,247.35/4,789.45
  6. Step 6: Final answer
    x = 4,212.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.