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Finding the Fourth Proportional to 3,917.38, 5,405.99 and 2,149.00

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Solution

The fourth proportional to 3,917.38, 5,405.99 and 2,149.00 is: 2,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.38 : 5,405.99 = 2,149.00 : x
  2. Step 2: Convert to fraction form
    3,917.38/5,405.99 = 2,149.00/x
  3. Step 3: Cross multiply
    3,917.38x = 5,405.99 × 2,149.00
  4. Step 4: Simplify right side
    3,917.38x = 11,617,456.31
  5. Step 5: Solve for x
    x = 11,617,456.31/3,917.38
  6. Step 6: Final answer
    x = 2,965.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.