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Finding the Fourth Proportional to 5,754.16, 8,634.51 and 2,243.71

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Solution

The fourth proportional to 5,754.16, 8,634.51 and 2,243.71 is: 3,366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.16 : 8,634.51 = 2,243.71 : x
  2. Step 2: Convert to fraction form
    5,754.16/8,634.51 = 2,243.71/x
  3. Step 3: Cross multiply
    5,754.16x = 8,634.51 × 2,243.71
  4. Step 4: Simplify right side
    5,754.16x = 19,373,336.43
  5. Step 5: Solve for x
    x = 19,373,336.43/5,754.16
  6. Step 6: Final answer
    x = 3,366.84

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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.