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Finding the Fourth Proportional to 3,464.44, 5,198.78 and 1,822.16

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Solution

The fourth proportional to 3,464.44, 5,198.78 and 1,822.16 is: 2,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.44 : 5,198.78 = 1,822.16 : x
  2. Step 2: Convert to fraction form
    3,464.44/5,198.78 = 1,822.16/x
  3. Step 3: Cross multiply
    3,464.44x = 5,198.78 × 1,822.16
  4. Step 4: Simplify right side
    3,464.44x = 9,473,026.52
  5. Step 5: Solve for x
    x = 9,473,026.52/3,464.44
  6. Step 6: Final answer
    x = 2,734.36

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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.