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Finding the Fourth Proportional to 5,166.96, 7,747.20 and 3,433.56

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Solution

The fourth proportional to 5,166.96, 7,747.20 and 3,433.56 is: 5,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.96 : 7,747.20 = 3,433.56 : x
  2. Step 2: Convert to fraction form
    5,166.96/7,747.20 = 3,433.56/x
  3. Step 3: Cross multiply
    5,166.96x = 7,747.20 × 3,433.56
  4. Step 4: Simplify right side
    5,166.96x = 26,600,476.03
  5. Step 5: Solve for x
    x = 26,600,476.03/5,166.96
  6. Step 6: Final answer
    x = 5,148.19

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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.