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Finding the Fourth Proportional to 4,137.75, 6,206.63 and 3,930.12

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Solution

The fourth proportional to 4,137.75, 6,206.63 and 3,930.12 is: 5,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.75 : 6,206.63 = 3,930.12 : x
  2. Step 2: Convert to fraction form
    4,137.75/6,206.63 = 3,930.12/x
  3. Step 3: Cross multiply
    4,137.75x = 6,206.63 × 3,930.12
  4. Step 4: Simplify right side
    4,137.75x = 24,392,781.05
  5. Step 5: Solve for x
    x = 24,392,781.05/4,137.75
  6. Step 6: Final answer
    x = 5,895.18

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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.