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Finding the Fourth Proportional to 5,180.19, 7,771.19 and 1,895.44

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Solution

The fourth proportional to 5,180.19, 7,771.19 and 1,895.44 is: 2,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.19 : 7,771.19 = 1,895.44 : x
  2. Step 2: Convert to fraction form
    5,180.19/7,771.19 = 1,895.44/x
  3. Step 3: Cross multiply
    5,180.19x = 7,771.19 × 1,895.44
  4. Step 4: Simplify right side
    5,180.19x = 14,729,824.37
  5. Step 5: Solve for x
    x = 14,729,824.37/5,180.19
  6. Step 6: Final answer
    x = 2,843.49

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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.