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Finding the Fourth Proportional to 3,872.61, 5,343.37 and 2,193.89

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Solution

The fourth proportional to 3,872.61, 5,343.37 and 2,193.89 is: 3,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.61 : 5,343.37 = 2,193.89 : x
  2. Step 2: Convert to fraction form
    3,872.61/5,343.37 = 2,193.89/x
  3. Step 3: Cross multiply
    3,872.61x = 5,343.37 × 2,193.89
  4. Step 4: Simplify right side
    3,872.61x = 11,722,733.81
  5. Step 5: Solve for x
    x = 11,722,733.81/3,872.61
  6. Step 6: Final answer
    x = 3,027.09

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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.