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Finding the Fourth Proportional to 5,982.34, 8,251.74 and 3,860.56

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Solution

The fourth proportional to 5,982.34, 8,251.74 and 3,860.56 is: 5,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.34 : 8,251.74 = 3,860.56 : x
  2. Step 2: Convert to fraction form
    5,982.34/8,251.74 = 3,860.56/x
  3. Step 3: Cross multiply
    5,982.34x = 8,251.74 × 3,860.56
  4. Step 4: Simplify right side
    5,982.34x = 31,856,337.37
  5. Step 5: Solve for x
    x = 31,856,337.37/5,982.34
  6. Step 6: Final answer
    x = 5,325.06

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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.