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Finding the Fourth Proportional to 4,843, 7,264.91 and 1,921.33

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Solution

The fourth proportional to 4,843, 7,264.91 and 1,921.33 is: 2,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843 : 7,264.91 = 1,921.33 : x
  2. Step 2: Convert to fraction form
    4,843/7,264.91 = 1,921.33/x
  3. Step 3: Cross multiply
    4,843x = 7,264.91 × 1,921.33
  4. Step 4: Simplify right side
    4,843x = 13,958,289.53
  5. Step 5: Solve for x
    x = 13,958,289.53/4,843
  6. Step 6: Final answer
    x = 2,882.16

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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.