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Finding the Fourth Proportional to 5,634.96, 8,452.94 and 1,474.96

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Solution

The fourth proportional to 5,634.96, 8,452.94 and 1,474.96 is: 2,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.96 : 8,452.94 = 1,474.96 : x
  2. Step 2: Convert to fraction form
    5,634.96/8,452.94 = 1,474.96/x
  3. Step 3: Cross multiply
    5,634.96x = 8,452.94 × 1,474.96
  4. Step 4: Simplify right side
    5,634.96x = 12,467,748.38
  5. Step 5: Solve for x
    x = 12,467,748.38/5,634.96
  6. Step 6: Final answer
    x = 2,212.57

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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.