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Finding the Fourth Proportional to 5,959.68, 8,939.16 and 2,064.12

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Solution

The fourth proportional to 5,959.68, 8,939.16 and 2,064.12 is: 3,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.68 : 8,939.16 = 2,064.12 : x
  2. Step 2: Convert to fraction form
    5,959.68/8,939.16 = 2,064.12/x
  3. Step 3: Cross multiply
    5,959.68x = 8,939.16 × 2,064.12
  4. Step 4: Simplify right side
    5,959.68x = 18,451,498.94
  5. Step 5: Solve for x
    x = 18,451,498.94/5,959.68
  6. Step 6: Final answer
    x = 3,096.06

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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.