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Finding the Fourth Proportional to 3,398.06, 5,091.31 and 1,643.89

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Solution

The fourth proportional to 3,398.06, 5,091.31 and 1,643.89 is: 2,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.06 : 5,091.31 = 1,643.89 : x
  2. Step 2: Convert to fraction form
    3,398.06/5,091.31 = 1,643.89/x
  3. Step 3: Cross multiply
    3,398.06x = 5,091.31 × 1,643.89
  4. Step 4: Simplify right side
    3,398.06x = 8,369,542.92
  5. Step 5: Solve for x
    x = 8,369,542.92/3,398.06
  6. Step 6: Final answer
    x = 2,463.04

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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.