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Finding the Fourth Proportional to 4,894.22, 6,754.12 and 2,906.30

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Solution

The fourth proportional to 4,894.22, 6,754.12 and 2,906.30 is: 4,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.22 : 6,754.12 = 2,906.30 : x
  2. Step 2: Convert to fraction form
    4,894.22/6,754.12 = 2,906.30/x
  3. Step 3: Cross multiply
    4,894.22x = 6,754.12 × 2,906.30
  4. Step 4: Simplify right side
    4,894.22x = 19,629,498.96
  5. Step 5: Solve for x
    x = 19,629,498.96/4,894.22
  6. Step 6: Final answer
    x = 4,010.75

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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.