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Finding the Fourth Proportional to 4,091.87, 6,138 and 1,628.66

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Solution

The fourth proportional to 4,091.87, 6,138 and 1,628.66 is: 2,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.87 : 6,138 = 1,628.66 : x
  2. Step 2: Convert to fraction form
    4,091.87/6,138 = 1,628.66/x
  3. Step 3: Cross multiply
    4,091.87x = 6,138 × 1,628.66
  4. Step 4: Simplify right side
    4,091.87x = 9,996,684.39
  5. Step 5: Solve for x
    x = 9,996,684.39/4,091.87
  6. Step 6: Final answer
    x = 2,443.06

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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.