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Finding the Fourth Proportional to 4,894.60, 6,757.77 and 3,481.42

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Solution

The fourth proportional to 4,894.60, 6,757.77 and 3,481.42 is: 4,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.60 : 6,757.77 = 3,481.42 : x
  2. Step 2: Convert to fraction form
    4,894.60/6,757.77 = 3,481.42/x
  3. Step 3: Cross multiply
    4,894.60x = 6,757.77 × 3,481.42
  4. Step 4: Simplify right side
    4,894.60x = 23,526,635.63
  5. Step 5: Solve for x
    x = 23,526,635.63/4,894.60
  6. Step 6: Final answer
    x = 4,806.65

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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.