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Finding the Fourth Proportional to 5,855.25, 8,080.25 and 3,202.68

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Solution

The fourth proportional to 5,855.25, 8,080.25 and 3,202.68 is: 4,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.25 : 8,080.25 = 3,202.68 : x
  2. Step 2: Convert to fraction form
    5,855.25/8,080.25 = 3,202.68/x
  3. Step 3: Cross multiply
    5,855.25x = 8,080.25 × 3,202.68
  4. Step 4: Simplify right side
    5,855.25x = 25,878,439.06
  5. Step 5: Solve for x
    x = 25,878,439.06/5,855.25
  6. Step 6: Final answer
    x = 4,419.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.