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Finding the Fourth Proportional to 4,954.27, 7,431.15 and 1,256.56

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Solution

The fourth proportional to 4,954.27, 7,431.15 and 1,256.56 is: 1,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.27 : 7,431.15 = 1,256.56 : x
  2. Step 2: Convert to fraction form
    4,954.27/7,431.15 = 1,256.56/x
  3. Step 3: Cross multiply
    4,954.27x = 7,431.15 × 1,256.56
  4. Step 4: Simplify right side
    4,954.27x = 9,337,685.84
  5. Step 5: Solve for x
    x = 9,337,685.84/4,954.27
  6. Step 6: Final answer
    x = 1,884.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.