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Finding the Fourth Proportional to 3,400.84, 5,105.58 and 2,891.08

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Solution

The fourth proportional to 3,400.84, 5,105.58 and 2,891.08 is: 4,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.84 : 5,105.58 = 2,891.08 : x
  2. Step 2: Convert to fraction form
    3,400.84/5,105.58 = 2,891.08/x
  3. Step 3: Cross multiply
    3,400.84x = 5,105.58 × 2,891.08
  4. Step 4: Simplify right side
    3,400.84x = 14,760,640.23
  5. Step 5: Solve for x
    x = 14,760,640.23/3,400.84
  6. Step 6: Final answer
    x = 4,340.29

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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.