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Finding the Fourth Proportional to 4,196.64, 5,786.55 and 2,682.14

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Solution

The fourth proportional to 4,196.64, 5,786.55 and 2,682.14 is: 3,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.64 : 5,786.55 = 2,682.14 : x
  2. Step 2: Convert to fraction form
    4,196.64/5,786.55 = 2,682.14/x
  3. Step 3: Cross multiply
    4,196.64x = 5,786.55 × 2,682.14
  4. Step 4: Simplify right side
    4,196.64x = 15,520,308.28
  5. Step 5: Solve for x
    x = 15,520,308.28/4,196.64
  6. Step 6: Final answer
    x = 3,698.27

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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.