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Finding the Fourth Proportional to 5,494.84, 8,236.44 and 1,796.07

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Solution

The fourth proportional to 5,494.84, 8,236.44 and 1,796.07 is: 2,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.84 : 8,236.44 = 1,796.07 : x
  2. Step 2: Convert to fraction form
    5,494.84/8,236.44 = 1,796.07/x
  3. Step 3: Cross multiply
    5,494.84x = 8,236.44 × 1,796.07
  4. Step 4: Simplify right side
    5,494.84x = 14,793,253.68
  5. Step 5: Solve for x
    x = 14,793,253.68/5,494.84
  6. Step 6: Final answer
    x = 2,692.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.