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Finding the Fourth Proportional to 4,138.73, 6,206.77 and 1,364.88

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Solution

The fourth proportional to 4,138.73, 6,206.77 and 1,364.88 is: 2,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.73 : 6,206.77 = 1,364.88 : x
  2. Step 2: Convert to fraction form
    4,138.73/6,206.77 = 1,364.88/x
  3. Step 3: Cross multiply
    4,138.73x = 6,206.77 × 1,364.88
  4. Step 4: Simplify right side
    4,138.73x = 8,471,489.41
  5. Step 5: Solve for x
    x = 8,471,489.41/4,138.73
  6. Step 6: Final answer
    x = 2,046.88

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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.