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Finding the Fourth Proportional to 3,477.26, 5,212.25 and 1,626.87

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Solution

The fourth proportional to 3,477.26, 5,212.25 and 1,626.87 is: 2,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.26 : 5,212.25 = 1,626.87 : x
  2. Step 2: Convert to fraction form
    3,477.26/5,212.25 = 1,626.87/x
  3. Step 3: Cross multiply
    3,477.26x = 5,212.25 × 1,626.87
  4. Step 4: Simplify right side
    3,477.26x = 8,479,645.02
  5. Step 5: Solve for x
    x = 8,479,645.02/3,477.26
  6. Step 6: Final answer
    x = 2,438.60

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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.