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Finding the Fourth Proportional to 3,962.88, 5,946.12 and 2,114.44

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Solution

The fourth proportional to 3,962.88, 5,946.12 and 2,114.44 is: 3,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.88 : 5,946.12 = 2,114.44 : x
  2. Step 2: Convert to fraction form
    3,962.88/5,946.12 = 2,114.44/x
  3. Step 3: Cross multiply
    3,962.88x = 5,946.12 × 2,114.44
  4. Step 4: Simplify right side
    3,962.88x = 12,572,713.97
  5. Step 5: Solve for x
    x = 12,572,713.97/3,962.88
  6. Step 6: Final answer
    x = 3,172.62

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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.