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Finding the Fourth Proportional to 6,205.20, 8,561.28 and 4,080.12

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Solution

The fourth proportional to 6,205.20, 8,561.28 and 4,080.12 is: 5,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.20 : 8,561.28 = 4,080.12 : x
  2. Step 2: Convert to fraction form
    6,205.20/8,561.28 = 4,080.12/x
  3. Step 3: Cross multiply
    6,205.20x = 8,561.28 × 4,080.12
  4. Step 4: Simplify right side
    6,205.20x = 34,931,049.75
  5. Step 5: Solve for x
    x = 34,931,049.75/6,205.20
  6. Step 6: Final answer
    x = 5,629.32

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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.