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Finding the Fourth Proportional to 3,771.80, 5,657.70 and 1,035.80

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Solution

The fourth proportional to 3,771.80, 5,657.70 and 1,035.80 is: 1,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.80 : 5,657.70 = 1,035.80 : x
  2. Step 2: Convert to fraction form
    3,771.80/5,657.70 = 1,035.80/x
  3. Step 3: Cross multiply
    3,771.80x = 5,657.70 × 1,035.80
  4. Step 4: Simplify right side
    3,771.80x = 5,860,245.66
  5. Step 5: Solve for x
    x = 5,860,245.66/3,771.80
  6. Step 6: Final answer
    x = 1,553.70

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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.