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Finding the Fourth Proportional to 6,120.42, 8,446.14 and 3,325.92

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Solution

The fourth proportional to 6,120.42, 8,446.14 and 3,325.92 is: 4,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.42 : 8,446.14 = 3,325.92 : x
  2. Step 2: Convert to fraction form
    6,120.42/8,446.14 = 3,325.92/x
  3. Step 3: Cross multiply
    6,120.42x = 8,446.14 × 3,325.92
  4. Step 4: Simplify right side
    6,120.42x = 28,091,185.95
  5. Step 5: Solve for x
    x = 28,091,185.95/6,120.42
  6. Step 6: Final answer
    x = 4,589.75

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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.