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Finding the Fourth Proportional to 4,771.28, 7,161.05 and 3,311.46

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Solution

The fourth proportional to 4,771.28, 7,161.05 and 3,311.46 is: 4,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.28 : 7,161.05 = 3,311.46 : x
  2. Step 2: Convert to fraction form
    4,771.28/7,161.05 = 3,311.46/x
  3. Step 3: Cross multiply
    4,771.28x = 7,161.05 × 3,311.46
  4. Step 4: Simplify right side
    4,771.28x = 23,713,538.91
  5. Step 5: Solve for x
    x = 23,713,538.91/4,771.28
  6. Step 6: Final answer
    x = 4,970.06

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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.