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Finding the Fourth Proportional to 5,781.40, 8,668.26 and 2,493.64

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Solution

The fourth proportional to 5,781.40, 8,668.26 and 2,493.64 is: 3,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.40 : 8,668.26 = 2,493.64 : x
  2. Step 2: Convert to fraction form
    5,781.40/8,668.26 = 2,493.64/x
  3. Step 3: Cross multiply
    5,781.40x = 8,668.26 × 2,493.64
  4. Step 4: Simplify right side
    5,781.40x = 21,615,519.87
  5. Step 5: Solve for x
    x = 21,615,519.87/5,781.40
  6. Step 6: Final answer
    x = 3,738.80

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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.