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Finding the Fourth Proportional to 4,096.90, 6,133.20 and 2,711.80

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Solution

The fourth proportional to 4,096.90, 6,133.20 and 2,711.80 is: 4,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.90 : 6,133.20 = 2,711.80 : x
  2. Step 2: Convert to fraction form
    4,096.90/6,133.20 = 2,711.80/x
  3. Step 3: Cross multiply
    4,096.90x = 6,133.20 × 2,711.80
  4. Step 4: Simplify right side
    4,096.90x = 16,632,011.76
  5. Step 5: Solve for x
    x = 16,632,011.76/4,096.90
  6. Step 6: Final answer
    x = 4,059.66

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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.