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Finding the Fourth Proportional to 3,493.41, 5,238.57 and 1,645.05

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Solution

The fourth proportional to 3,493.41, 5,238.57 and 1,645.05 is: 2,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.41 : 5,238.57 = 1,645.05 : x
  2. Step 2: Convert to fraction form
    3,493.41/5,238.57 = 1,645.05/x
  3. Step 3: Cross multiply
    3,493.41x = 5,238.57 × 1,645.05
  4. Step 4: Simplify right side
    3,493.41x = 8,617,709.58
  5. Step 5: Solve for x
    x = 8,617,709.58/3,493.41
  6. Step 6: Final answer
    x = 2,466.85

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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.