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Finding the Fourth Proportional to 6,120.36, 8,446.14 and 3,325.86

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Solution

The fourth proportional to 6,120.36, 8,446.14 and 3,325.86 is: 4,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.36 : 8,446.14 = 3,325.86 : x
  2. Step 2: Convert to fraction form
    6,120.36/8,446.14 = 3,325.86/x
  3. Step 3: Cross multiply
    6,120.36x = 8,446.14 × 3,325.86
  4. Step 4: Simplify right side
    6,120.36x = 28,090,679.18
  5. Step 5: Solve for x
    x = 28,090,679.18/6,120.36
  6. Step 6: Final answer
    x = 4,589.71

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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.