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Finding the Fourth Proportional to 4,768.06, 7,146.78 and 1,843.96

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Solution

The fourth proportional to 4,768.06, 7,146.78 and 1,843.96 is: 2,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.06 : 7,146.78 = 1,843.96 : x
  2. Step 2: Convert to fraction form
    4,768.06/7,146.78 = 1,843.96/x
  3. Step 3: Cross multiply
    4,768.06x = 7,146.78 × 1,843.96
  4. Step 4: Simplify right side
    4,768.06x = 13,178,376.45
  5. Step 5: Solve for x
    x = 13,178,376.45/4,768.06
  6. Step 6: Final answer
    x = 2,763.89

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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.