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Finding the Fourth Proportional to 5,321.70, 7,982.75 and 2,032.90

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Solution

The fourth proportional to 5,321.70, 7,982.75 and 2,032.90 is: 3,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.70 : 7,982.75 = 2,032.90 : x
  2. Step 2: Convert to fraction form
    5,321.70/7,982.75 = 2,032.90/x
  3. Step 3: Cross multiply
    5,321.70x = 7,982.75 × 2,032.90
  4. Step 4: Simplify right side
    5,321.70x = 16,228,117.60
  5. Step 5: Solve for x
    x = 16,228,117.60/5,321.70
  6. Step 6: Final answer
    x = 3,049.42

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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.