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Finding the Fourth Proportional to 5,382.96, 8,080.92 and 3,646.32

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Solution

The fourth proportional to 5,382.96, 8,080.92 and 3,646.32 is: 5,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.96 : 8,080.92 = 3,646.32 : x
  2. Step 2: Convert to fraction form
    5,382.96/8,080.92 = 3,646.32/x
  3. Step 3: Cross multiply
    5,382.96x = 8,080.92 × 3,646.32
  4. Step 4: Simplify right side
    5,382.96x = 29,465,620.21
  5. Step 5: Solve for x
    x = 29,465,620.21/5,382.96
  6. Step 6: Final answer
    x = 5,473.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.