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Finding the Fourth Proportional to 3,960.84, 5,467.14 and 2,563.68

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Solution

The fourth proportional to 3,960.84, 5,467.14 and 2,563.68 is: 3,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.84 : 5,467.14 = 2,563.68 : x
  2. Step 2: Convert to fraction form
    3,960.84/5,467.14 = 2,563.68/x
  3. Step 3: Cross multiply
    3,960.84x = 5,467.14 × 2,563.68
  4. Step 4: Simplify right side
    3,960.84x = 14,015,997.48
  5. Step 5: Solve for x
    x = 14,015,997.48/3,960.84
  6. Step 6: Final answer
    x = 3,538.64

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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.