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Finding the Fourth Proportional to 3,872.50, 5,343.99 and 2,193.87

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Solution

The fourth proportional to 3,872.50, 5,343.99 and 2,193.87 is: 3,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.50 : 5,343.99 = 2,193.87 : x
  2. Step 2: Convert to fraction form
    3,872.50/5,343.99 = 2,193.87/x
  3. Step 3: Cross multiply
    3,872.50x = 5,343.99 × 2,193.87
  4. Step 4: Simplify right side
    3,872.50x = 11,724,019.34
  5. Step 5: Solve for x
    x = 11,724,019.34/3,872.50
  6. Step 6: Final answer
    x = 3,027.51

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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.