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Finding the Fourth Proportional to 5,684.45, 8,527.26 and 2,174.45

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Solution

The fourth proportional to 5,684.45, 8,527.26 and 2,174.45 is: 3,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.45 : 8,527.26 = 2,174.45 : x
  2. Step 2: Convert to fraction form
    5,684.45/8,527.26 = 2,174.45/x
  3. Step 3: Cross multiply
    5,684.45x = 8,527.26 × 2,174.45
  4. Step 4: Simplify right side
    5,684.45x = 18,542,057.87
  5. Step 5: Solve for x
    x = 18,542,057.87/5,684.45
  6. Step 6: Final answer
    x = 3,261.89

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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.