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Finding the Fourth Proportional to 3,910.80, 5,397 and 2,142.41

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Solution

The fourth proportional to 3,910.80, 5,397 and 2,142.41 is: 2,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.80 : 5,397 = 2,142.41 : x
  2. Step 2: Convert to fraction form
    3,910.80/5,397 = 2,142.41/x
  3. Step 3: Cross multiply
    3,910.80x = 5,397 × 2,142.41
  4. Step 4: Simplify right side
    3,910.80x = 11,562,586.77
  5. Step 5: Solve for x
    x = 11,562,586.77/3,910.80
  6. Step 6: Final answer
    x = 2,956.58

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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.