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Finding the Fourth Proportional to 5,504.54, 8,254.82 and 1,993.64

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Solution

The fourth proportional to 5,504.54, 8,254.82 and 1,993.64 is: 2,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.54 : 8,254.82 = 1,993.64 : x
  2. Step 2: Convert to fraction form
    5,504.54/8,254.82 = 1,993.64/x
  3. Step 3: Cross multiply
    5,504.54x = 8,254.82 × 1,993.64
  4. Step 4: Simplify right side
    5,504.54x = 16,457,103.05
  5. Step 5: Solve for x
    x = 16,457,103.05/5,504.54
  6. Step 6: Final answer
    x = 2,989.74

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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.