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Finding the Fourth Proportional to 3,771.86, 5,657.86 and 1,797.70

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Solution

The fourth proportional to 3,771.86, 5,657.86 and 1,797.70 is: 2,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.86 : 5,657.86 = 1,797.70 : x
  2. Step 2: Convert to fraction form
    3,771.86/5,657.86 = 1,797.70/x
  3. Step 3: Cross multiply
    3,771.86x = 5,657.86 × 1,797.70
  4. Step 4: Simplify right side
    3,771.86x = 10,171,134.92
  5. Step 5: Solve for x
    x = 10,171,134.92/3,771.86
  6. Step 6: Final answer
    x = 2,696.58

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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.