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Finding the Fourth Proportional to 4,324.68, 5,969.57 and 3,747.24

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Solution

The fourth proportional to 4,324.68, 5,969.57 and 3,747.24 is: 5,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.68 : 5,969.57 = 3,747.24 : x
  2. Step 2: Convert to fraction form
    4,324.68/5,969.57 = 3,747.24/x
  3. Step 3: Cross multiply
    4,324.68x = 5,969.57 × 3,747.24
  4. Step 4: Simplify right side
    4,324.68x = 22,369,392.75
  5. Step 5: Solve for x
    x = 22,369,392.75/4,324.68
  6. Step 6: Final answer
    x = 5,172.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.