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Finding the Fourth Proportional to 3,806.80, 5,710.20 and 2,057.20

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Solution

The fourth proportional to 3,806.80, 5,710.20 and 2,057.20 is: 3,085.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.80 : 5,710.20 = 2,057.20 : x
  2. Step 2: Convert to fraction form
    3,806.80/5,710.20 = 2,057.20/x
  3. Step 3: Cross multiply
    3,806.80x = 5,710.20 × 2,057.20
  4. Step 4: Simplify right side
    3,806.80x = 11,747,023.44
  5. Step 5: Solve for x
    x = 11,747,023.44/3,806.80
  6. Step 6: Final answer
    x = 3,085.80

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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.