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Finding the Fourth Proportional to 3,475.14, 4,767.14 and 3,286.83

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Solution

The fourth proportional to 3,475.14, 4,767.14 and 3,286.83 is: 4,508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.14 : 4,767.14 = 3,286.83 : x
  2. Step 2: Convert to fraction form
    3,475.14/4,767.14 = 3,286.83/x
  3. Step 3: Cross multiply
    3,475.14x = 4,767.14 × 3,286.83
  4. Step 4: Simplify right side
    3,475.14x = 15,668,762.33
  5. Step 5: Solve for x
    x = 15,668,762.33/3,475.14
  6. Step 6: Final answer
    x = 4,508.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.