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Finding the Fourth Proportional to 5,325.90, 7,982.10 and 2,034.60

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Solution

The fourth proportional to 5,325.90, 7,982.10 and 2,034.60 is: 3,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.90 : 7,982.10 = 2,034.60 : x
  2. Step 2: Convert to fraction form
    5,325.90/7,982.10 = 2,034.60/x
  3. Step 3: Cross multiply
    5,325.90x = 7,982.10 × 2,034.60
  4. Step 4: Simplify right side
    5,325.90x = 16,240,380.66
  5. Step 5: Solve for x
    x = 16,240,380.66/5,325.90
  6. Step 6: Final answer
    x = 3,049.32

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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.