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Finding the Fourth Proportional to 5,797.49, 8,000.25 and 3,144.84

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Solution

The fourth proportional to 5,797.49, 8,000.25 and 3,144.84 is: 4,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.49 : 8,000.25 = 3,144.84 : x
  2. Step 2: Convert to fraction form
    5,797.49/8,000.25 = 3,144.84/x
  3. Step 3: Cross multiply
    5,797.49x = 8,000.25 × 3,144.84
  4. Step 4: Simplify right side
    5,797.49x = 25,159,506.21
  5. Step 5: Solve for x
    x = 25,159,506.21/5,797.49
  6. Step 6: Final answer
    x = 4,339.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.