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Finding the Fourth Proportional to 4,843.36, 7,266.08 and 1,921.56

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Solution

The fourth proportional to 4,843.36, 7,266.08 and 1,921.56 is: 2,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.36 : 7,266.08 = 1,921.56 : x
  2. Step 2: Convert to fraction form
    4,843.36/7,266.08 = 1,921.56/x
  3. Step 3: Cross multiply
    4,843.36x = 7,266.08 × 1,921.56
  4. Step 4: Simplify right side
    4,843.36x = 13,962,208.68
  5. Step 5: Solve for x
    x = 13,962,208.68/4,843.36
  6. Step 6: Final answer
    x = 2,882.75

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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.