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Finding the Fourth Proportional to 5,165.25, 7,749.50 and 2,243.99

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Solution

The fourth proportional to 5,165.25, 7,749.50 and 2,243.99 is: 3,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.25 : 7,749.50 = 2,243.99 : x
  2. Step 2: Convert to fraction form
    5,165.25/7,749.50 = 2,243.99/x
  3. Step 3: Cross multiply
    5,165.25x = 7,749.50 × 2,243.99
  4. Step 4: Simplify right side
    5,165.25x = 17,389,750.54
  5. Step 5: Solve for x
    x = 17,389,750.54/5,165.25
  6. Step 6: Final answer
    x = 3,366.68

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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.