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Finding the Fourth Proportional to 3,484.73, 4,809.01 and 1,912.83

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Solution

The fourth proportional to 3,484.73, 4,809.01 and 1,912.83 is: 2,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.73 : 4,809.01 = 1,912.83 : x
  2. Step 2: Convert to fraction form
    3,484.73/4,809.01 = 1,912.83/x
  3. Step 3: Cross multiply
    3,484.73x = 4,809.01 × 1,912.83
  4. Step 4: Simplify right side
    3,484.73x = 9,198,809.03
  5. Step 5: Solve for x
    x = 9,198,809.03/3,484.73
  6. Step 6: Final answer
    x = 2,639.75

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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.