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Finding the Fourth Proportional to 4,769.38, 7,152.09 and 1,846

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Solution

The fourth proportional to 4,769.38, 7,152.09 and 1,846 is: 2,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.38 : 7,152.09 = 1,846 : x
  2. Step 2: Convert to fraction form
    4,769.38/7,152.09 = 1,846/x
  3. Step 3: Cross multiply
    4,769.38x = 7,152.09 × 1,846
  4. Step 4: Simplify right side
    4,769.38x = 13,202,758.14
  5. Step 5: Solve for x
    x = 13,202,758.14/4,769.38
  6. Step 6: Final answer
    x = 2,768.23

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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.