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Finding the Fourth Proportional to 4,711.20, 7,066.80 and 4,192.80

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Solution

The fourth proportional to 4,711.20, 7,066.80 and 4,192.80 is: 6,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.20 : 7,066.80 = 4,192.80 : x
  2. Step 2: Convert to fraction form
    4,711.20/7,066.80 = 4,192.80/x
  3. Step 3: Cross multiply
    4,711.20x = 7,066.80 × 4,192.80
  4. Step 4: Simplify right side
    4,711.20x = 29,629,679.04
  5. Step 5: Solve for x
    x = 29,629,679.04/4,711.20
  6. Step 6: Final answer
    x = 6,289.20

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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.