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Finding the Fourth Proportional to 3,427.70, 5,131.13 and 2,195.98

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Solution

The fourth proportional to 3,427.70, 5,131.13 and 2,195.98 is: 3,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.70 : 5,131.13 = 2,195.98 : x
  2. Step 2: Convert to fraction form
    3,427.70/5,131.13 = 2,195.98/x
  3. Step 3: Cross multiply
    3,427.70x = 5,131.13 × 2,195.98
  4. Step 4: Simplify right side
    3,427.70x = 11,267,835.05
  5. Step 5: Solve for x
    x = 11,267,835.05/3,427.70
  6. Step 6: Final answer
    x = 3,287.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.