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Finding the Fourth Proportional to 4,092.44, 5,647.59 and 2,229.44

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Solution

The fourth proportional to 4,092.44, 5,647.59 and 2,229.44 is: 3,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.44 : 5,647.59 = 2,229.44 : x
  2. Step 2: Convert to fraction form
    4,092.44/5,647.59 = 2,229.44/x
  3. Step 3: Cross multiply
    4,092.44x = 5,647.59 × 2,229.44
  4. Step 4: Simplify right side
    4,092.44x = 12,590,934.81
  5. Step 5: Solve for x
    x = 12,590,934.81/4,092.44
  6. Step 6: Final answer
    x = 3,076.64

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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.