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Finding the Fourth Proportional to 3,384.57, 4,668.35 and 3,105.73

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Solution

The fourth proportional to 3,384.57, 4,668.35 and 3,105.73 is: 4,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.57 : 4,668.35 = 3,105.73 : x
  2. Step 2: Convert to fraction form
    3,384.57/4,668.35 = 3,105.73/x
  3. Step 3: Cross multiply
    3,384.57x = 4,668.35 × 3,105.73
  4. Step 4: Simplify right side
    3,384.57x = 14,498,634.65
  5. Step 5: Solve for x
    x = 14,498,634.65/3,384.57
  6. Step 6: Final answer
    x = 4,283.74

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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.