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Finding the Fourth Proportional to 5,321.34, 7,982.00 and 2,396.22

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Solution

The fourth proportional to 5,321.34, 7,982.00 and 2,396.22 is: 3,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.34 : 7,982.00 = 2,396.22 : x
  2. Step 2: Convert to fraction form
    5,321.34/7,982.00 = 2,396.22/x
  3. Step 3: Cross multiply
    5,321.34x = 7,982.00 × 2,396.22
  4. Step 4: Simplify right side
    5,321.34x = 19,126,616.06
  5. Step 5: Solve for x
    x = 19,126,616.06/5,321.34
  6. Step 6: Final answer
    x = 3,594.32

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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.