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Finding the Fourth Proportional to 3,404.00, 5,105.99 and 2,976.32

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Solution

The fourth proportional to 3,404.00, 5,105.99 and 2,976.32 is: 4,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.00 : 5,105.99 = 2,976.32 : x
  2. Step 2: Convert to fraction form
    3,404.00/5,105.99 = 2,976.32/x
  3. Step 3: Cross multiply
    3,404.00x = 5,105.99 × 2,976.32
  4. Step 4: Simplify right side
    3,404.00x = 15,197,042.07
  5. Step 5: Solve for x
    x = 15,197,042.07/3,404.00
  6. Step 6: Final answer
    x = 4,464.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.