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Finding the Fourth Proportional to 4,278.96, 5,893.16 and 3,972.78

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Solution

The fourth proportional to 4,278.96, 5,893.16 and 3,972.78 is: 5,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.96 : 5,893.16 = 3,972.78 : x
  2. Step 2: Convert to fraction form
    4,278.96/5,893.16 = 3,972.78/x
  3. Step 3: Cross multiply
    4,278.96x = 5,893.16 × 3,972.78
  4. Step 4: Simplify right side
    4,278.96x = 23,412,208.32
  5. Step 5: Solve for x
    x = 23,412,208.32/4,278.96
  6. Step 6: Final answer
    x = 5,471.47

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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.