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Finding the Fourth Proportional to 4,001.78, 5,992.16 and 2,825.44

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Solution

The fourth proportional to 4,001.78, 5,992.16 and 2,825.44 is: 4,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.78 : 5,992.16 = 2,825.44 : x
  2. Step 2: Convert to fraction form
    4,001.78/5,992.16 = 2,825.44/x
  3. Step 3: Cross multiply
    4,001.78x = 5,992.16 × 2,825.44
  4. Step 4: Simplify right side
    4,001.78x = 16,930,488.55
  5. Step 5: Solve for x
    x = 16,930,488.55/4,001.78
  6. Step 6: Final answer
    x = 4,230.74

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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.