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Finding the Fourth Proportional to 5,977.52, 8,249.17 and 3,324.86

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Solution

The fourth proportional to 5,977.52, 8,249.17 and 3,324.86 is: 4,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.52 : 8,249.17 = 3,324.86 : x
  2. Step 2: Convert to fraction form
    5,977.52/8,249.17 = 3,324.86/x
  3. Step 3: Cross multiply
    5,977.52x = 8,249.17 × 3,324.86
  4. Step 4: Simplify right side
    5,977.52x = 27,427,335.37
  5. Step 5: Solve for x
    x = 27,427,335.37/5,977.52
  6. Step 6: Final answer
    x = 4,588.41

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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.