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Finding the Fourth Proportional to 3,965.76, 5,467.77 and 2,546.94

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Solution

The fourth proportional to 3,965.76, 5,467.77 and 2,546.94 is: 3,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.76 : 5,467.77 = 2,546.94 : x
  2. Step 2: Convert to fraction form
    3,965.76/5,467.77 = 2,546.94/x
  3. Step 3: Cross multiply
    3,965.76x = 5,467.77 × 2,546.94
  4. Step 4: Simplify right side
    3,965.76x = 13,926,082.12
  5. Step 5: Solve for x
    x = 13,926,082.12/3,965.76
  6. Step 6: Final answer
    x = 3,511.58

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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.