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Finding the Fourth Proportional to 5,797.42, 8,000.38 and 3,144.81

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Solution

The fourth proportional to 5,797.42, 8,000.38 and 3,144.81 is: 4,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.42 : 8,000.38 = 3,144.81 : x
  2. Step 2: Convert to fraction form
    5,797.42/8,000.38 = 3,144.81/x
  3. Step 3: Cross multiply
    5,797.42x = 8,000.38 × 3,144.81
  4. Step 4: Simplify right side
    5,797.42x = 25,159,627.16
  5. Step 5: Solve for x
    x = 25,159,627.16/5,797.42
  6. Step 6: Final answer
    x = 4,339.80

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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.