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Finding the Fourth Proportional to 3,651.04, 5,022.49 and 3,200.88

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Solution

The fourth proportional to 3,651.04, 5,022.49 and 3,200.88 is: 4,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.04 : 5,022.49 = 3,200.88 : x
  2. Step 2: Convert to fraction form
    3,651.04/5,022.49 = 3,200.88/x
  3. Step 3: Cross multiply
    3,651.04x = 5,022.49 × 3,200.88
  4. Step 4: Simplify right side
    3,651.04x = 16,076,387.79
  5. Step 5: Solve for x
    x = 16,076,387.79/3,651.04
  6. Step 6: Final answer
    x = 4,403.24

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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.