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Finding the Fourth Proportional to 4,278.31, 5,906.97 and 2,769.51

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Solution

The fourth proportional to 4,278.31, 5,906.97 and 2,769.51 is: 3,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.31 : 5,906.97 = 2,769.51 : x
  2. Step 2: Convert to fraction form
    4,278.31/5,906.97 = 2,769.51/x
  3. Step 3: Cross multiply
    4,278.31x = 5,906.97 × 2,769.51
  4. Step 4: Simplify right side
    4,278.31x = 16,359,412.48
  5. Step 5: Solve for x
    x = 16,359,412.48/4,278.31
  6. Step 6: Final answer
    x = 3,823.80

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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.