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Finding the Fourth Proportional to 5,855.32, 8,080.32 and 3,202.72

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Solution

The fourth proportional to 5,855.32, 8,080.32 and 3,202.72 is: 4,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.32 : 8,080.32 = 3,202.72 : x
  2. Step 2: Convert to fraction form
    5,855.32/8,080.32 = 3,202.72/x
  3. Step 3: Cross multiply
    5,855.32x = 8,080.32 × 3,202.72
  4. Step 4: Simplify right side
    5,855.32x = 25,879,002.47
  5. Step 5: Solve for x
    x = 25,879,002.47/5,855.32
  6. Step 6: Final answer
    x = 4,419.74

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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.