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Finding the Fourth Proportional to 4,843.96, 7,262.10 and 1,923

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Solution

The fourth proportional to 4,843.96, 7,262.10 and 1,923 is: 2,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.96 : 7,262.10 = 1,923 : x
  2. Step 2: Convert to fraction form
    4,843.96/7,262.10 = 1,923/x
  3. Step 3: Cross multiply
    4,843.96x = 7,262.10 × 1,923
  4. Step 4: Simplify right side
    4,843.96x = 13,965,018.30
  5. Step 5: Solve for x
    x = 13,965,018.30/4,843.96
  6. Step 6: Final answer
    x = 2,882.98

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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.