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Finding the Fourth Proportional to 5,461.92, 8,203.92 and 3,274.80

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Solution

The fourth proportional to 5,461.92, 8,203.92 and 3,274.80 is: 4,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.92 : 8,203.92 = 3,274.80 : x
  2. Step 2: Convert to fraction form
    5,461.92/8,203.92 = 3,274.80/x
  3. Step 3: Cross multiply
    5,461.92x = 8,203.92 × 3,274.80
  4. Step 4: Simplify right side
    5,461.92x = 26,866,197.22
  5. Step 5: Solve for x
    x = 26,866,197.22/5,461.92
  6. Step 6: Final answer
    x = 4,918.82

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1.5x scale

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.