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Finding the Fourth Proportional to 3,400.26, 5,098.95 and 1,209.54

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Solution

The fourth proportional to 3,400.26, 5,098.95 and 1,209.54 is: 1,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.26 : 5,098.95 = 1,209.54 : x
  2. Step 2: Convert to fraction form
    3,400.26/5,098.95 = 1,209.54/x
  3. Step 3: Cross multiply
    3,400.26x = 5,098.95 × 1,209.54
  4. Step 4: Simplify right side
    3,400.26x = 6,167,383.98
  5. Step 5: Solve for x
    x = 6,167,383.98/3,400.26
  6. Step 6: Final answer
    x = 1,813.80

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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.