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Finding the Fourth Proportional to 4,962.43, 7,433.52 and 2,772.33

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Solution

The fourth proportional to 4,962.43, 7,433.52 and 2,772.33 is: 4,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.43 : 7,433.52 = 2,772.33 : x
  2. Step 2: Convert to fraction form
    4,962.43/7,433.52 = 2,772.33/x
  3. Step 3: Cross multiply
    4,962.43x = 7,433.52 × 2,772.33
  4. Step 4: Simplify right side
    4,962.43x = 20,608,170.50
  5. Step 5: Solve for x
    x = 20,608,170.50/4,962.43
  6. Step 6: Final answer
    x = 4,152.84

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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.