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Finding the Fourth Proportional to 4,269.34, 6,404.96 and 1,806.27

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Solution

The fourth proportional to 4,269.34, 6,404.96 and 1,806.27 is: 2,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.34 : 6,404.96 = 1,806.27 : x
  2. Step 2: Convert to fraction form
    4,269.34/6,404.96 = 1,806.27/x
  3. Step 3: Cross multiply
    4,269.34x = 6,404.96 × 1,806.27
  4. Step 4: Simplify right side
    4,269.34x = 11,569,087.10
  5. Step 5: Solve for x
    x = 11,569,087.10/4,269.34
  6. Step 6: Final answer
    x = 2,709.81

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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.