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Finding the Fourth Proportional to 3,581.80, 5,366.94 and 3,005.80

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Solution

The fourth proportional to 3,581.80, 5,366.94 and 3,005.80 is: 4,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.80 : 5,366.94 = 3,005.80 : x
  2. Step 2: Convert to fraction form
    3,581.80/5,366.94 = 3,005.80/x
  3. Step 3: Cross multiply
    3,581.80x = 5,366.94 × 3,005.80
  4. Step 4: Simplify right side
    3,581.80x = 16,131,948.25
  5. Step 5: Solve for x
    x = 16,131,948.25/3,581.80
  6. Step 6: Final answer
    x = 4,503.87

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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.