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Finding the Fourth Proportional to 3,403.80, 5,103.93 and 1,212.21

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Solution

The fourth proportional to 3,403.80, 5,103.93 and 1,212.21 is: 1,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.80 : 5,103.93 = 1,212.21 : x
  2. Step 2: Convert to fraction form
    3,403.80/5,103.93 = 1,212.21/x
  3. Step 3: Cross multiply
    3,403.80x = 5,103.93 × 1,212.21
  4. Step 4: Simplify right side
    3,403.80x = 6,187,034.99
  5. Step 5: Solve for x
    x = 6,187,034.99/3,403.80
  6. Step 6: Final answer
    x = 1,817.68

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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.