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Finding the Fourth Proportional to 4,227.08, 5,834.31 and 2,657.30

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Solution

The fourth proportional to 4,227.08, 5,834.31 and 2,657.30 is: 3,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.08 : 5,834.31 = 2,657.30 : x
  2. Step 2: Convert to fraction form
    4,227.08/5,834.31 = 2,657.30/x
  3. Step 3: Cross multiply
    4,227.08x = 5,834.31 × 2,657.30
  4. Step 4: Simplify right side
    4,227.08x = 15,503,511.96
  5. Step 5: Solve for x
    x = 15,503,511.96/4,227.08
  6. Step 6: Final answer
    x = 3,667.66

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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.