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Finding the Fourth Proportional to 5,321.34, 7,982.82 and 3,242.88

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Solution

The fourth proportional to 5,321.34, 7,982.82 and 3,242.88 is: 4,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.34 : 7,982.82 = 3,242.88 : x
  2. Step 2: Convert to fraction form
    5,321.34/7,982.82 = 3,242.88/x
  3. Step 3: Cross multiply
    5,321.34x = 7,982.82 × 3,242.88
  4. Step 4: Simplify right side
    5,321.34x = 25,887,327.32
  5. Step 5: Solve for x
    x = 25,887,327.32/5,321.34
  6. Step 6: Final answer
    x = 4,864.81

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1.5x scale

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.