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Finding the Fourth Proportional to 3,649.62, 5,475.87 and 2,189.82

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Solution

The fourth proportional to 3,649.62, 5,475.87 and 2,189.82 is: 3,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.62 : 5,475.87 = 2,189.82 : x
  2. Step 2: Convert to fraction form
    3,649.62/5,475.87 = 2,189.82/x
  3. Step 3: Cross multiply
    3,649.62x = 5,475.87 × 2,189.82
  4. Step 4: Simplify right side
    3,649.62x = 11,991,169.64
  5. Step 5: Solve for x
    x = 11,991,169.64/3,649.62
  6. Step 6: Final answer
    x = 3,285.59

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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.