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Finding the Fourth Proportional to 5,166.18, 7,749.36 and 1,468.43

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Solution

The fourth proportional to 5,166.18, 7,749.36 and 1,468.43 is: 2,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.18 : 7,749.36 = 1,468.43 : x
  2. Step 2: Convert to fraction form
    5,166.18/7,749.36 = 1,468.43/x
  3. Step 3: Cross multiply
    5,166.18x = 7,749.36 × 1,468.43
  4. Step 4: Simplify right side
    5,166.18x = 11,379,353.96
  5. Step 5: Solve for x
    x = 11,379,353.96/5,166.18
  6. Step 6: Final answer
    x = 2,202.66

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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.