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Finding the Fourth Proportional to 5,496.37, 8,238.74 and 1,797.61

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Solution

The fourth proportional to 5,496.37, 8,238.74 and 1,797.61 is: 2,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.37 : 8,238.74 = 1,797.61 : x
  2. Step 2: Convert to fraction form
    5,496.37/8,238.74 = 1,797.61/x
  3. Step 3: Cross multiply
    5,496.37x = 8,238.74 × 1,797.61
  4. Step 4: Simplify right side
    5,496.37x = 14,810,000.22
  5. Step 5: Solve for x
    x = 14,810,000.22/5,496.37
  6. Step 6: Final answer
    x = 2,694.51

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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.