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Finding the Fourth Proportional to 4,174.56, 5,765.62 and 2,845.98

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Solution

The fourth proportional to 4,174.56, 5,765.62 and 2,845.98 is: 3,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.56 : 5,765.62 = 2,845.98 : x
  2. Step 2: Convert to fraction form
    4,174.56/5,765.62 = 2,845.98/x
  3. Step 3: Cross multiply
    4,174.56x = 5,765.62 × 2,845.98
  4. Step 4: Simplify right side
    4,174.56x = 16,408,839.21
  5. Step 5: Solve for x
    x = 16,408,839.21/4,174.56
  6. Step 6: Final answer
    x = 3,930.68

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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.