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Finding the Fourth Proportional to 3,474.29, 5,212.47 and 1,626.47

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Solution

The fourth proportional to 3,474.29, 5,212.47 and 1,626.47 is: 2,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.29 : 5,212.47 = 1,626.47 : x
  2. Step 2: Convert to fraction form
    3,474.29/5,212.47 = 1,626.47/x
  3. Step 3: Cross multiply
    3,474.29x = 5,212.47 × 1,626.47
  4. Step 4: Simplify right side
    3,474.29x = 8,477,900.02
  5. Step 5: Solve for x
    x = 8,477,900.02/3,474.29
  6. Step 6: Final answer
    x = 2,440.19

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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.