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Finding the Fourth Proportional to 5,794.88, 8,687.12 and 2,096.26

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Solution

The fourth proportional to 5,794.88, 8,687.12 and 2,096.26 is: 3,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.88 : 8,687.12 = 2,096.26 : x
  2. Step 2: Convert to fraction form
    5,794.88/8,687.12 = 2,096.26/x
  3. Step 3: Cross multiply
    5,794.88x = 8,687.12 × 2,096.26
  4. Step 4: Simplify right side
    5,794.88x = 18,210,462.17
  5. Step 5: Solve for x
    x = 18,210,462.17/5,794.88
  6. Step 6: Final answer
    x = 3,142.51

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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.