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Finding the Fourth Proportional to 3,106.81, 4,660.23 and 2,951.09

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Solution

The fourth proportional to 3,106.81, 4,660.23 and 2,951.09 is: 4,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.81 : 4,660.23 = 2,951.09 : x
  2. Step 2: Convert to fraction form
    3,106.81/4,660.23 = 2,951.09/x
  3. Step 3: Cross multiply
    3,106.81x = 4,660.23 × 2,951.09
  4. Step 4: Simplify right side
    3,106.81x = 13,752,758.15
  5. Step 5: Solve for x
    x = 13,752,758.15/3,106.81
  6. Step 6: Final answer
    x = 4,426.65

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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.