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Finding the Fourth Proportional to 4,910.22, 6,782.74 and 3,922.43

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Solution

The fourth proportional to 4,910.22, 6,782.74 and 3,922.43 is: 5,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910.22 : 6,782.74 = 3,922.43 : x
  2. Step 2: Convert to fraction form
    4,910.22/6,782.74 = 3,922.43/x
  3. Step 3: Cross multiply
    4,910.22x = 6,782.74 × 3,922.43
  4. Step 4: Simplify right side
    4,910.22x = 26,604,779.14
  5. Step 5: Solve for x
    x = 26,604,779.14/4,910.22
  6. Step 6: Final answer
    x = 5,418.25

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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.