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Finding the Fourth Proportional to 4,165.75, 6,243.36 and 3,644.56

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Solution

The fourth proportional to 4,165.75, 6,243.36 and 3,644.56 is: 5,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.75 : 6,243.36 = 3,644.56 : x
  2. Step 2: Convert to fraction form
    4,165.75/6,243.36 = 3,644.56/x
  3. Step 3: Cross multiply
    4,165.75x = 6,243.36 × 3,644.56
  4. Step 4: Simplify right side
    4,165.75x = 22,754,300.12
  5. Step 5: Solve for x
    x = 22,754,300.12/4,165.75
  6. Step 6: Final answer
    x = 5,462.23

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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.