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Finding the Fourth Proportional to 4,161.76, 5,740.68 and 2,836.06

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Solution

The fourth proportional to 4,161.76, 5,740.68 and 2,836.06 is: 3,912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.76 : 5,740.68 = 2,836.06 : x
  2. Step 2: Convert to fraction form
    4,161.76/5,740.68 = 2,836.06/x
  3. Step 3: Cross multiply
    4,161.76x = 5,740.68 × 2,836.06
  4. Step 4: Simplify right side
    4,161.76x = 16,280,912.92
  5. Step 5: Solve for x
    x = 16,280,912.92/4,161.76
  6. Step 6: Final answer
    x = 3,912.03

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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.