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Finding the Fourth Proportional to 4,146.86, 6,219.03 and 3,414.62

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Solution

The fourth proportional to 4,146.86, 6,219.03 and 3,414.62 is: 5,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.86 : 6,219.03 = 3,414.62 : x
  2. Step 2: Convert to fraction form
    4,146.86/6,219.03 = 3,414.62/x
  3. Step 3: Cross multiply
    4,146.86x = 6,219.03 × 3,414.62
  4. Step 4: Simplify right side
    4,146.86x = 21,235,624.22
  5. Step 5: Solve for x
    x = 21,235,624.22/4,146.86
  6. Step 6: Final answer
    x = 5,120.89

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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.