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Finding the Fourth Proportional to 3,239.66, 4,847.18 and 2,004

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Solution

The fourth proportional to 3,239.66, 4,847.18 and 2,004 is: 2,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.66 : 4,847.18 = 2,004 : x
  2. Step 2: Convert to fraction form
    3,239.66/4,847.18 = 2,004/x
  3. Step 3: Cross multiply
    3,239.66x = 4,847.18 × 2,004
  4. Step 4: Simplify right side
    3,239.66x = 9,713,738.70
  5. Step 5: Solve for x
    x = 9,713,738.70/3,239.66
  6. Step 6: Final answer
    x = 2,998.39

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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.