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Finding the Fourth Proportional to 3,494.22, 4,821.36 and 2,168.25

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Solution

The fourth proportional to 3,494.22, 4,821.36 and 2,168.25 is: 2,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.22 : 4,821.36 = 2,168.25 : x
  2. Step 2: Convert to fraction form
    3,494.22/4,821.36 = 2,168.25/x
  3. Step 3: Cross multiply
    3,494.22x = 4,821.36 × 2,168.25
  4. Step 4: Simplify right side
    3,494.22x = 10,453,913.82
  5. Step 5: Solve for x
    x = 10,453,913.82/3,494.22
  6. Step 6: Final answer
    x = 2,991.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.