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Finding the Fourth Proportional to 5,797.25, 8,000.24 and 3,144.68

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Solution

The fourth proportional to 5,797.25, 8,000.24 and 3,144.68 is: 4,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.25 : 8,000.24 = 3,144.68 : x
  2. Step 2: Convert to fraction form
    5,797.25/8,000.24 = 3,144.68/x
  3. Step 3: Cross multiply
    5,797.25x = 8,000.24 × 3,144.68
  4. Step 4: Simplify right side
    5,797.25x = 25,158,139.00
  5. Step 5: Solve for x
    x = 25,158,139.00/5,797.25
  6. Step 6: Final answer
    x = 4,339.67

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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.