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Finding the Fourth Proportional to 3,874.56, 5,346.23 and 2,195.62

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Solution

The fourth proportional to 3,874.56, 5,346.23 and 2,195.62 is: 3,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.56 : 5,346.23 = 2,195.62 : x
  2. Step 2: Convert to fraction form
    3,874.56/5,346.23 = 2,195.62/x
  3. Step 3: Cross multiply
    3,874.56x = 5,346.23 × 2,195.62
  4. Step 4: Simplify right side
    3,874.56x = 11,738,289.51
  5. Step 5: Solve for x
    x = 11,738,289.51/3,874.56
  6. Step 6: Final answer
    x = 3,029.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.