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Finding the Fourth Proportional to 3,820.80, 5,720.40 and 3,388.80

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Solution

The fourth proportional to 3,820.80, 5,720.40 and 3,388.80 is: 5,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.80 : 5,720.40 = 3,388.80 : x
  2. Step 2: Convert to fraction form
    3,820.80/5,720.40 = 3,388.80/x
  3. Step 3: Cross multiply
    3,820.80x = 5,720.40 × 3,388.80
  4. Step 4: Simplify right side
    3,820.80x = 19,385,291.52
  5. Step 5: Solve for x
    x = 19,385,291.52/3,820.80
  6. Step 6: Final answer
    x = 5,073.62

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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.