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Finding the Fourth Proportional to 5,200.43, 7,174.27 and 3,409.82

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Solution

The fourth proportional to 5,200.43, 7,174.27 and 3,409.82 is: 4,704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.43 : 7,174.27 = 3,409.82 : x
  2. Step 2: Convert to fraction form
    5,200.43/7,174.27 = 3,409.82/x
  3. Step 3: Cross multiply
    5,200.43x = 7,174.27 × 3,409.82
  4. Step 4: Simplify right side
    5,200.43x = 24,462,984.80
  5. Step 5: Solve for x
    x = 24,462,984.80/5,200.43
  6. Step 6: Final answer
    x = 4,704.03

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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.