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Finding the Fourth Proportional to 3,861.70, 5,794.65 and 2,106.60

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Solution

The fourth proportional to 3,861.70, 5,794.65 and 2,106.60 is: 3,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.70 : 5,794.65 = 2,106.60 : x
  2. Step 2: Convert to fraction form
    3,861.70/5,794.65 = 2,106.60/x
  3. Step 3: Cross multiply
    3,861.70x = 5,794.65 × 2,106.60
  4. Step 4: Simplify right side
    3,861.70x = 12,207,009.69
  5. Step 5: Solve for x
    x = 12,207,009.69/3,861.70
  6. Step 6: Final answer
    x = 3,161.05

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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.