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Finding the Fourth Proportional to 5,496.60, 8,239.09 and 1,797.84

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Solution

The fourth proportional to 5,496.60, 8,239.09 and 1,797.84 is: 2,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.60 : 8,239.09 = 1,797.84 : x
  2. Step 2: Convert to fraction form
    5,496.60/8,239.09 = 1,797.84/x
  3. Step 3: Cross multiply
    5,496.60x = 8,239.09 × 1,797.84
  4. Step 4: Simplify right side
    5,496.60x = 14,812,565.57
  5. Step 5: Solve for x
    x = 14,812,565.57/5,496.60
  6. Step 6: Final answer
    x = 2,694.86

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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.