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Finding the Fourth Proportional to 4,992.44, 6,883.16 and 4,092.86

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Solution

The fourth proportional to 4,992.44, 6,883.16 and 4,092.86 is: 5,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.44 : 6,883.16 = 4,092.86 : x
  2. Step 2: Convert to fraction form
    4,992.44/6,883.16 = 4,092.86/x
  3. Step 3: Cross multiply
    4,992.44x = 6,883.16 × 4,092.86
  4. Step 4: Simplify right side
    4,992.44x = 28,171,806.98
  5. Step 5: Solve for x
    x = 28,171,806.98/4,992.44
  6. Step 6: Final answer
    x = 5,642.90

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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.