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Finding the Fourth Proportional to 3,874.21, 5,346.22 and 2,195.58

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Solution

The fourth proportional to 3,874.21, 5,346.22 and 2,195.58 is: 3,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.21 : 5,346.22 = 2,195.58 : x
  2. Step 2: Convert to fraction form
    3,874.21/5,346.22 = 2,195.58/x
  3. Step 3: Cross multiply
    3,874.21x = 5,346.22 × 2,195.58
  4. Step 4: Simplify right side
    3,874.21x = 11,738,053.71
  5. Step 5: Solve for x
    x = 11,738,053.71/3,874.21
  6. Step 6: Final answer
    x = 3,029.79

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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.