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Finding the Fourth Proportional to 3,902.33, 5,381.60 and 2,645.21

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Solution

The fourth proportional to 3,902.33, 5,381.60 and 2,645.21 is: 3,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.33 : 5,381.60 = 2,645.21 : x
  2. Step 2: Convert to fraction form
    3,902.33/5,381.60 = 2,645.21/x
  3. Step 3: Cross multiply
    3,902.33x = 5,381.60 × 2,645.21
  4. Step 4: Simplify right side
    3,902.33x = 14,235,431.92
  5. Step 5: Solve for x
    x = 14,235,431.92/3,902.33
  6. Step 6: Final answer
    x = 3,647.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.