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Finding the Fourth Proportional to 5,978.44, 8,967.66 and 2,082.88

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Solution

The fourth proportional to 5,978.44, 8,967.66 and 2,082.88 is: 3,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.44 : 8,967.66 = 2,082.88 : x
  2. Step 2: Convert to fraction form
    5,978.44/8,967.66 = 2,082.88/x
  3. Step 3: Cross multiply
    5,978.44x = 8,967.66 × 2,082.88
  4. Step 4: Simplify right side
    5,978.44x = 18,678,559.66
  5. Step 5: Solve for x
    x = 18,678,559.66/5,978.44
  6. Step 6: Final answer
    x = 3,124.32

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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.