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Finding the Fourth Proportional to 3,049.15, 4,573.74 and 857.92

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Solution

The fourth proportional to 3,049.15, 4,573.74 and 857.92 is: 1,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.15 : 4,573.74 = 857.92 : x
  2. Step 2: Convert to fraction form
    3,049.15/4,573.74 = 857.92/x
  3. Step 3: Cross multiply
    3,049.15x = 4,573.74 × 857.92
  4. Step 4: Simplify right side
    3,049.15x = 3,923,903.02
  5. Step 5: Solve for x
    x = 3,923,903.02/3,049.15
  6. Step 6: Final answer
    x = 1,286.88

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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.