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Finding the Fourth Proportional to 3,886.50, 5,363.17 and 2,118.09

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Solution

The fourth proportional to 3,886.50, 5,363.17 and 2,118.09 is: 2,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.50 : 5,363.17 = 2,118.09 : x
  2. Step 2: Convert to fraction form
    3,886.50/5,363.17 = 2,118.09/x
  3. Step 3: Cross multiply
    3,886.50x = 5,363.17 × 2,118.09
  4. Step 4: Simplify right side
    3,886.50x = 11,359,676.75
  5. Step 5: Solve for x
    x = 11,359,676.75/3,886.50
  6. Step 6: Final answer
    x = 2,922.86

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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.