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Finding the Fourth Proportional to 5,978.24, 8,249.02 and 3,325.64

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Solution

The fourth proportional to 5,978.24, 8,249.02 and 3,325.64 is: 4,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.24 : 8,249.02 = 3,325.64 : x
  2. Step 2: Convert to fraction form
    5,978.24/8,249.02 = 3,325.64/x
  3. Step 3: Cross multiply
    5,978.24x = 8,249.02 × 3,325.64
  4. Step 4: Simplify right side
    5,978.24x = 27,433,270.87
  5. Step 5: Solve for x
    x = 27,433,270.87/5,978.24
  6. Step 6: Final answer
    x = 4,588.85

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Why These Related Problems?

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