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Finding the Fourth Proportional to 6,049.20, 8,348.16 and 3,530.92

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Solution

The fourth proportional to 6,049.20, 8,348.16 and 3,530.92 is: 4,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.20 : 8,348.16 = 3,530.92 : x
  2. Step 2: Convert to fraction form
    6,049.20/8,348.16 = 3,530.92/x
  3. Step 3: Cross multiply
    6,049.20x = 8,348.16 × 3,530.92
  4. Step 4: Simplify right side
    6,049.20x = 29,476,685.11
  5. Step 5: Solve for x
    x = 29,476,685.11/6,049.20
  6. Step 6: Final answer
    x = 4,872.82

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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.