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Finding the Fourth Proportional to 4,092.80, 5,649.28 and 3,883.84

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Solution

The fourth proportional to 4,092.80, 5,649.28 and 3,883.84 is: 5,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.80 : 5,649.28 = 3,883.84 : x
  2. Step 2: Convert to fraction form
    4,092.80/5,649.28 = 3,883.84/x
  3. Step 3: Cross multiply
    4,092.80x = 5,649.28 × 3,883.84
  4. Step 4: Simplify right side
    4,092.80x = 21,940,899.64
  5. Step 5: Solve for x
    x = 21,940,899.64/4,092.80
  6. Step 6: Final answer
    x = 5,360.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.