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Finding the Fourth Proportional to 3,663.68, 5,495.86 and 1,324.27

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Solution

The fourth proportional to 3,663.68, 5,495.86 and 1,324.27 is: 1,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.68 : 5,495.86 = 1,324.27 : x
  2. Step 2: Convert to fraction form
    3,663.68/5,495.86 = 1,324.27/x
  3. Step 3: Cross multiply
    3,663.68x = 5,495.86 × 1,324.27
  4. Step 4: Simplify right side
    3,663.68x = 7,278,002.52
  5. Step 5: Solve for x
    x = 7,278,002.52/3,663.68
  6. Step 6: Final answer
    x = 1,986.53

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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.