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Finding the Fourth Proportional to 5,855.40, 8,080.28 and 3,202.76

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Solution

The fourth proportional to 5,855.40, 8,080.28 and 3,202.76 is: 4,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.40 : 8,080.28 = 3,202.76 : x
  2. Step 2: Convert to fraction form
    5,855.40/8,080.28 = 3,202.76/x
  3. Step 3: Cross multiply
    5,855.40x = 8,080.28 × 3,202.76
  4. Step 4: Simplify right side
    5,855.40x = 25,879,157.17
  5. Step 5: Solve for x
    x = 25,879,157.17/5,855.40
  6. Step 6: Final answer
    x = 4,419.71

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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.