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Finding the Fourth Proportional to 5,200.93, 7,177.78 and 2,843.43

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Solution

The fourth proportional to 5,200.93, 7,177.78 and 2,843.43 is: 3,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.93 : 7,177.78 = 2,843.43 : x
  2. Step 2: Convert to fraction form
    5,200.93/7,177.78 = 2,843.43/x
  3. Step 3: Cross multiply
    5,200.93x = 7,177.78 × 2,843.43
  4. Step 4: Simplify right side
    5,200.93x = 20,409,514.99
  5. Step 5: Solve for x
    x = 20,409,514.99/5,200.93
  6. Step 6: Final answer
    x = 3,924.20

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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.