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Finding the Fourth Proportional to 5,855.18, 8,080.44 and 3,202.70

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Solution

The fourth proportional to 5,855.18, 8,080.44 and 3,202.70 is: 4,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.18 : 8,080.44 = 3,202.70 : x
  2. Step 2: Convert to fraction form
    5,855.18/8,080.44 = 3,202.70/x
  3. Step 3: Cross multiply
    5,855.18x = 8,080.44 × 3,202.70
  4. Step 4: Simplify right side
    5,855.18x = 25,879,225.19
  5. Step 5: Solve for x
    x = 25,879,225.19/5,855.18
  6. Step 6: Final answer
    x = 4,419.89

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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.