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Finding the Fourth Proportional to 5,797.91, 8,000.97 and 3,440

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Solution

The fourth proportional to 5,797.91, 8,000.97 and 3,440 is: 4,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.91 : 8,000.97 = 3,440 : x
  2. Step 2: Convert to fraction form
    5,797.91/8,000.97 = 3,440/x
  3. Step 3: Cross multiply
    5,797.91x = 8,000.97 × 3,440
  4. Step 4: Simplify right side
    5,797.91x = 27,523,336.80
  5. Step 5: Solve for x
    x = 27,523,336.80/5,797.91
  6. Step 6: Final answer
    x = 4,747.11

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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.