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Finding the Fourth Proportional to 3,402.88, 5,104.74 and 1,211.80

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Solution

The fourth proportional to 3,402.88, 5,104.74 and 1,211.80 is: 1,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.88 : 5,104.74 = 1,211.80 : x
  2. Step 2: Convert to fraction form
    3,402.88/5,104.74 = 1,211.80/x
  3. Step 3: Cross multiply
    3,402.88x = 5,104.74 × 1,211.80
  4. Step 4: Simplify right side
    3,402.88x = 6,185,923.93
  5. Step 5: Solve for x
    x = 6,185,923.93/3,402.88
  6. Step 6: Final answer
    x = 1,817.85

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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.