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Finding the Fourth Proportional to 3,193.61, 4,794.05 and 3,011.36

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Solution

The fourth proportional to 3,193.61, 4,794.05 and 3,011.36 is: 4,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.61 : 4,794.05 = 3,011.36 : x
  2. Step 2: Convert to fraction form
    3,193.61/4,794.05 = 3,011.36/x
  3. Step 3: Cross multiply
    3,193.61x = 4,794.05 × 3,011.36
  4. Step 4: Simplify right side
    3,193.61x = 14,436,593.97
  5. Step 5: Solve for x
    x = 14,436,593.97/3,193.61
  6. Step 6: Final answer
    x = 4,520.47

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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.