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Finding the Fourth Proportional to 3,185.94, 4,778.10 and 2,145.36

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Solution

The fourth proportional to 3,185.94, 4,778.10 and 2,145.36 is: 3,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.94 : 4,778.10 = 2,145.36 : x
  2. Step 2: Convert to fraction form
    3,185.94/4,778.10 = 2,145.36/x
  3. Step 3: Cross multiply
    3,185.94x = 4,778.10 × 2,145.36
  4. Step 4: Simplify right side
    3,185.94x = 10,250,744.62
  5. Step 5: Solve for x
    x = 10,250,744.62/3,185.94
  6. Step 6: Final answer
    x = 3,217.49

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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.