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Finding the Fourth Proportional to 3,467.64, 5,193.68 and 2,682.12

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Solution

The fourth proportional to 3,467.64, 5,193.68 and 2,682.12 is: 4,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.64 : 5,193.68 = 2,682.12 : x
  2. Step 2: Convert to fraction form
    3,467.64/5,193.68 = 2,682.12/x
  3. Step 3: Cross multiply
    3,467.64x = 5,193.68 × 2,682.12
  4. Step 4: Simplify right side
    3,467.64x = 13,930,073.00
  5. Step 5: Solve for x
    x = 13,930,073.00/3,467.64
  6. Step 6: Final answer
    x = 4,017.16

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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.