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Finding the Fourth Proportional to 3,424.86, 5,138.69 and 1,645.03

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Solution

The fourth proportional to 3,424.86, 5,138.69 and 1,645.03 is: 2,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.86 : 5,138.69 = 1,645.03 : x
  2. Step 2: Convert to fraction form
    3,424.86/5,138.69 = 1,645.03/x
  3. Step 3: Cross multiply
    3,424.86x = 5,138.69 × 1,645.03
  4. Step 4: Simplify right side
    3,424.86x = 8,453,321.11
  5. Step 5: Solve for x
    x = 8,453,321.11/3,424.86
  6. Step 6: Final answer
    x = 2,468.23

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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.