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Finding the Fourth Proportional to 5,704.32, 8,563.68 and 3,982.08

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Solution

The fourth proportional to 5,704.32, 8,563.68 and 3,982.08 is: 5,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.32 : 8,563.68 = 3,982.08 : x
  2. Step 2: Convert to fraction form
    5,704.32/8,563.68 = 3,982.08/x
  3. Step 3: Cross multiply
    5,704.32x = 8,563.68 × 3,982.08
  4. Step 4: Simplify right side
    5,704.32x = 34,101,258.85
  5. Step 5: Solve for x
    x = 34,101,258.85/5,704.32
  6. Step 6: Final answer
    x = 5,978.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.