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Finding the Fourth Proportional to 5,469.66, 8,208.81 and 2,546.46

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Solution

The fourth proportional to 5,469.66, 8,208.81 and 2,546.46 is: 3,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.66 : 8,208.81 = 2,546.46 : x
  2. Step 2: Convert to fraction form
    5,469.66/8,208.81 = 2,546.46/x
  3. Step 3: Cross multiply
    5,469.66x = 8,208.81 × 2,546.46
  4. Step 4: Simplify right side
    5,469.66x = 20,903,406.31
  5. Step 5: Solve for x
    x = 20,903,406.31/5,469.66
  6. Step 6: Final answer
    x = 3,821.70

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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.