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Finding the Fourth Proportional to 3,821.94, 5,721.84 and 1,968.66

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Solution

The fourth proportional to 3,821.94, 5,721.84 and 1,968.66 is: 2,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.94 : 5,721.84 = 1,968.66 : x
  2. Step 2: Convert to fraction form
    3,821.94/5,721.84 = 1,968.66/x
  3. Step 3: Cross multiply
    3,821.94x = 5,721.84 × 1,968.66
  4. Step 4: Simplify right side
    3,821.94x = 11,264,357.53
  5. Step 5: Solve for x
    x = 11,264,357.53/3,821.94
  6. Step 6: Final answer
    x = 2,947.29

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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.