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Finding the Fourth Proportional to 3,821.84, 5,732.80 and 1,224.80

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Solution

The fourth proportional to 3,821.84, 5,732.80 and 1,224.80 is: 1,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.84 : 5,732.80 = 1,224.80 : x
  2. Step 2: Convert to fraction form
    3,821.84/5,732.80 = 1,224.80/x
  3. Step 3: Cross multiply
    3,821.84x = 5,732.80 × 1,224.80
  4. Step 4: Simplify right side
    3,821.84x = 7,021,533.44
  5. Step 5: Solve for x
    x = 7,021,533.44/3,821.84
  6. Step 6: Final answer
    x = 1,837.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.