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Finding the Fourth Proportional to 5,978.13, 8,962.07 and 2,082.03

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Solution

The fourth proportional to 5,978.13, 8,962.07 and 2,082.03 is: 3,121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.13 : 8,962.07 = 2,082.03 : x
  2. Step 2: Convert to fraction form
    5,978.13/8,962.07 = 2,082.03/x
  3. Step 3: Cross multiply
    5,978.13x = 8,962.07 × 2,082.03
  4. Step 4: Simplify right side
    5,978.13x = 18,659,288.19
  5. Step 5: Solve for x
    x = 18,659,288.19/5,978.13
  6. Step 6: Final answer
    x = 3,121.26

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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.