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Finding the Fourth Proportional to 3,910.80, 5,396 and 2,316.64

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Solution

The fourth proportional to 3,910.80, 5,396 and 2,316.64 is: 3,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.80 : 5,396 = 2,316.64 : x
  2. Step 2: Convert to fraction form
    3,910.80/5,396 = 2,316.64/x
  3. Step 3: Cross multiply
    3,910.80x = 5,396 × 2,316.64
  4. Step 4: Simplify right side
    3,910.80x = 12,500,589.44
  5. Step 5: Solve for x
    x = 12,500,589.44/3,910.80
  6. Step 6: Final answer
    x = 3,196.43

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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.