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Finding the Fourth Proportional to 3,469.10, 5,199.03 and 1,275.80

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Solution

The fourth proportional to 3,469.10, 5,199.03 and 1,275.80 is: 1,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.10 : 5,199.03 = 1,275.80 : x
  2. Step 2: Convert to fraction form
    3,469.10/5,199.03 = 1,275.80/x
  3. Step 3: Cross multiply
    3,469.10x = 5,199.03 × 1,275.80
  4. Step 4: Simplify right side
    3,469.10x = 6,632,922.47
  5. Step 5: Solve for x
    x = 6,632,922.47/3,469.10
  6. Step 6: Final answer
    x = 1,912.00

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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.