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Finding the Fourth Proportional to 3,902.70, 5,854.05 and 2,813.97

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Solution

The fourth proportional to 3,902.70, 5,854.05 and 2,813.97 is: 4,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.70 : 5,854.05 = 2,813.97 : x
  2. Step 2: Convert to fraction form
    3,902.70/5,854.05 = 2,813.97/x
  3. Step 3: Cross multiply
    3,902.70x = 5,854.05 × 2,813.97
  4. Step 4: Simplify right side
    3,902.70x = 16,473,121.08
  5. Step 5: Solve for x
    x = 16,473,121.08/3,902.70
  6. Step 6: Final answer
    x = 4,220.96

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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.