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Finding the Fourth Proportional to 3,763.40, 5,639.83 and 3,205.20

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Solution

The fourth proportional to 3,763.40, 5,639.83 and 3,205.20 is: 4,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.40 : 5,639.83 = 3,205.20 : x
  2. Step 2: Convert to fraction form
    3,763.40/5,639.83 = 3,205.20/x
  3. Step 3: Cross multiply
    3,763.40x = 5,639.83 × 3,205.20
  4. Step 4: Simplify right side
    3,763.40x = 18,076,767.09
  5. Step 5: Solve for x
    x = 18,076,767.09/3,763.40
  6. Step 6: Final answer
    x = 4,803.31

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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.