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Finding the Fourth Proportional to 4,296.86, 5,929.62 and 3,944.21

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Solution

The fourth proportional to 4,296.86, 5,929.62 and 3,944.21 is: 5,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.86 : 5,929.62 = 3,944.21 : x
  2. Step 2: Convert to fraction form
    4,296.86/5,929.62 = 3,944.21/x
  3. Step 3: Cross multiply
    4,296.86x = 5,929.62 × 3,944.21
  4. Step 4: Simplify right side
    4,296.86x = 23,387,636.85
  5. Step 5: Solve for x
    x = 23,387,636.85/4,296.86
  6. Step 6: Final answer
    x = 5,442.97

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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.