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Finding the Fourth Proportional to 3,400.88, 4,690.82 and 3,286.58

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Solution

The fourth proportional to 3,400.88, 4,690.82 and 3,286.58 is: 4,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.88 : 4,690.82 = 3,286.58 : x
  2. Step 2: Convert to fraction form
    3,400.88/4,690.82 = 3,286.58/x
  3. Step 3: Cross multiply
    3,400.88x = 4,690.82 × 3,286.58
  4. Step 4: Simplify right side
    3,400.88x = 15,416,739.96
  5. Step 5: Solve for x
    x = 15,416,739.96/3,400.88
  6. Step 6: Final answer
    x = 4,533.17

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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.