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Finding the Fourth Proportional to 4,766.22, 6,573.87 and 3,274.38

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Solution

The fourth proportional to 4,766.22, 6,573.87 and 3,274.38 is: 4,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.22 : 6,573.87 = 3,274.38 : x
  2. Step 2: Convert to fraction form
    4,766.22/6,573.87 = 3,274.38/x
  3. Step 3: Cross multiply
    4,766.22x = 6,573.87 × 3,274.38
  4. Step 4: Simplify right side
    4,766.22x = 21,525,348.45
  5. Step 5: Solve for x
    x = 21,525,348.45/4,766.22
  6. Step 6: Final answer
    x = 4,516.23

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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.