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Finding the Fourth Proportional to 3,275.03, 4,912.55 and 809.90

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Solution

The fourth proportional to 3,275.03, 4,912.55 and 809.90 is: 1,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.03 : 4,912.55 = 809.90 : x
  2. Step 2: Convert to fraction form
    3,275.03/4,912.55 = 809.90/x
  3. Step 3: Cross multiply
    3,275.03x = 4,912.55 × 809.90
  4. Step 4: Simplify right side
    3,275.03x = 3,978,674.25
  5. Step 5: Solve for x
    x = 3,978,674.25/3,275.03
  6. Step 6: Final answer
    x = 1,214.85

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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.