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Finding the Fourth Proportional to 4,892.44, 7,338.66 and 1,605.55

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Solution

The fourth proportional to 4,892.44, 7,338.66 and 1,605.55 is: 2,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.44 : 7,338.66 = 1,605.55 : x
  2. Step 2: Convert to fraction form
    4,892.44/7,338.66 = 1,605.55/x
  3. Step 3: Cross multiply
    4,892.44x = 7,338.66 × 1,605.55
  4. Step 4: Simplify right side
    4,892.44x = 11,782,585.56
  5. Step 5: Solve for x
    x = 11,782,585.56/4,892.44
  6. Step 6: Final answer
    x = 2,408.33

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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.