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Finding the Fourth Proportional to 3,632.57, 5,449.66 and 1,324.07

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Solution

The fourth proportional to 3,632.57, 5,449.66 and 1,324.07 is: 1,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.57 : 5,449.66 = 1,324.07 : x
  2. Step 2: Convert to fraction form
    3,632.57/5,449.66 = 1,324.07/x
  3. Step 3: Cross multiply
    3,632.57x = 5,449.66 × 1,324.07
  4. Step 4: Simplify right side
    3,632.57x = 7,215,697.45
  5. Step 5: Solve for x
    x = 7,215,697.45/3,632.57
  6. Step 6: Final answer
    x = 1,986.39

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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.