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Finding the Fourth Proportional to 3,937.80, 5,906.70 and 3,403.20

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Solution

The fourth proportional to 3,937.80, 5,906.70 and 3,403.20 is: 5,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.80 : 5,906.70 = 3,403.20 : x
  2. Step 2: Convert to fraction form
    3,937.80/5,906.70 = 3,403.20/x
  3. Step 3: Cross multiply
    3,937.80x = 5,906.70 × 3,403.20
  4. Step 4: Simplify right side
    3,937.80x = 20,101,681.44
  5. Step 5: Solve for x
    x = 20,101,681.44/3,937.80
  6. Step 6: Final answer
    x = 5,104.80

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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.