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Finding the Fourth Proportional to 5,855.80, 8,080.66 and 3,202.68

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Solution

The fourth proportional to 5,855.80, 8,080.66 and 3,202.68 is: 4,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.80 : 8,080.66 = 3,202.68 : x
  2. Step 2: Convert to fraction form
    5,855.80/8,080.66 = 3,202.68/x
  3. Step 3: Cross multiply
    5,855.80x = 8,080.66 × 3,202.68
  4. Step 4: Simplify right side
    5,855.80x = 25,879,768.17
  5. Step 5: Solve for x
    x = 25,879,768.17/5,855.80
  6. Step 6: Final answer
    x = 4,419.51

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