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Finding the Fourth Proportional to 5,977.98, 8,249.02 and 3,325.12

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Solution

The fourth proportional to 5,977.98, 8,249.02 and 3,325.12 is: 4,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.98 : 8,249.02 = 3,325.12 : x
  2. Step 2: Convert to fraction form
    5,977.98/8,249.02 = 3,325.12/x
  3. Step 3: Cross multiply
    5,977.98x = 8,249.02 × 3,325.12
  4. Step 4: Simplify right side
    5,977.98x = 27,428,981.38
  5. Step 5: Solve for x
    x = 27,428,981.38/5,977.98
  6. Step 6: Final answer
    x = 4,588.34

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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.