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Finding the Fourth Proportional to 3,982.50, 5,970.96 and 1,872.90

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Solution

The fourth proportional to 3,982.50, 5,970.96 and 1,872.90 is: 2,808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.50 : 5,970.96 = 1,872.90 : x
  2. Step 2: Convert to fraction form
    3,982.50/5,970.96 = 1,872.90/x
  3. Step 3: Cross multiply
    3,982.50x = 5,970.96 × 1,872.90
  4. Step 4: Simplify right side
    3,982.50x = 11,183,010.98
  5. Step 5: Solve for x
    x = 11,183,010.98/3,982.50
  6. Step 6: Final answer
    x = 2,808.04

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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.