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Finding the Fourth Proportional to 3,277.87, 4,523.50 and 1,785.80

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Solution

The fourth proportional to 3,277.87, 4,523.50 and 1,785.80 is: 2,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.87 : 4,523.50 = 1,785.80 : x
  2. Step 2: Convert to fraction form
    3,277.87/4,523.50 = 1,785.80/x
  3. Step 3: Cross multiply
    3,277.87x = 4,523.50 × 1,785.80
  4. Step 4: Simplify right side
    3,277.87x = 8,078,066.30
  5. Step 5: Solve for x
    x = 8,078,066.30/3,277.87
  6. Step 6: Final answer
    x = 2,464.43

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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.