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Finding the Fourth Proportional to 3,772.09, 5,202.51 and 3,520.57

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Solution

The fourth proportional to 3,772.09, 5,202.51 and 3,520.57 is: 4,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.09 : 5,202.51 = 3,520.57 : x
  2. Step 2: Convert to fraction form
    3,772.09/5,202.51 = 3,520.57/x
  3. Step 3: Cross multiply
    3,772.09x = 5,202.51 × 3,520.57
  4. Step 4: Simplify right side
    3,772.09x = 18,315,800.63
  5. Step 5: Solve for x
    x = 18,315,800.63/3,772.09
  6. Step 6: Final answer
    x = 4,855.61

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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.