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Finding the Fourth Proportional to 5,213.60, 7,194.78 and 2,823.59

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Solution

The fourth proportional to 5,213.60, 7,194.78 and 2,823.59 is: 3,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.60 : 7,194.78 = 2,823.59 : x
  2. Step 2: Convert to fraction form
    5,213.60/7,194.78 = 2,823.59/x
  3. Step 3: Cross multiply
    5,213.60x = 7,194.78 × 2,823.59
  4. Step 4: Simplify right side
    5,213.60x = 20,315,126.85
  5. Step 5: Solve for x
    x = 20,315,126.85/5,213.60
  6. Step 6: Final answer
    x = 3,896.57

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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.