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Finding the Fourth Proportional to 5,200.76, 7,177.16 and 2,843.12

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Solution

The fourth proportional to 5,200.76, 7,177.16 and 2,843.12 is: 3,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.76 : 7,177.16 = 2,843.12 : x
  2. Step 2: Convert to fraction form
    5,200.76/7,177.16 = 2,843.12/x
  3. Step 3: Cross multiply
    5,200.76x = 7,177.16 × 2,843.12
  4. Step 4: Simplify right side
    5,200.76x = 20,405,527.14
  5. Step 5: Solve for x
    x = 20,405,527.14/5,200.76
  6. Step 6: Final answer
    x = 3,923.57

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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.