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Finding the Fourth Proportional to 3,467.79, 5,194.98 and 3,000

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Solution

The fourth proportional to 3,467.79, 5,194.98 and 3,000 is: 4,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.79 : 5,194.98 = 3,000 : x
  2. Step 2: Convert to fraction form
    3,467.79/5,194.98 = 3,000/x
  3. Step 3: Cross multiply
    3,467.79x = 5,194.98 × 3,000
  4. Step 4: Simplify right side
    3,467.79x = 15,584,940.00
  5. Step 5: Solve for x
    x = 15,584,940.00/3,467.79
  6. Step 6: Final answer
    x = 4,494.20

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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.