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Finding the Fourth Proportional to 5,978.22, 8,967.23 and 2,082.53

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Solution

The fourth proportional to 5,978.22, 8,967.23 and 2,082.53 is: 3,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.22 : 8,967.23 = 2,082.53 : x
  2. Step 2: Convert to fraction form
    5,978.22/8,967.23 = 2,082.53/x
  3. Step 3: Cross multiply
    5,978.22x = 8,967.23 × 2,082.53
  4. Step 4: Simplify right side
    5,978.22x = 18,674,470.24
  5. Step 5: Solve for x
    x = 18,674,470.24/5,978.22
  6. Step 6: Final answer
    x = 3,123.75

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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.