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Finding the Fourth Proportional to 5,668.24, 8,502.34 and 2,157.42

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Solution

The fourth proportional to 5,668.24, 8,502.34 and 2,157.42 is: 3,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.24 : 8,502.34 = 2,157.42 : x
  2. Step 2: Convert to fraction form
    5,668.24/8,502.34 = 2,157.42/x
  3. Step 3: Cross multiply
    5,668.24x = 8,502.34 × 2,157.42
  4. Step 4: Simplify right side
    5,668.24x = 18,343,107.58
  5. Step 5: Solve for x
    x = 18,343,107.58/5,668.24
  6. Step 6: Final answer
    x = 3,236.12

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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.