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Finding the Fourth Proportional to 4,894.42, 6,755.31 and 2,906.08

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Solution

The fourth proportional to 4,894.42, 6,755.31 and 2,906.08 is: 4,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.42 : 6,755.31 = 2,906.08 : x
  2. Step 2: Convert to fraction form
    4,894.42/6,755.31 = 2,906.08/x
  3. Step 3: Cross multiply
    4,894.42x = 6,755.31 × 2,906.08
  4. Step 4: Simplify right side
    4,894.42x = 19,631,471.28
  5. Step 5: Solve for x
    x = 19,631,471.28/4,894.42
  6. Step 6: Final answer
    x = 4,010.99

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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.