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Finding the Fourth Proportional to 3,806.08, 5,711.20 and 2,649.60

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Solution

The fourth proportional to 3,806.08, 5,711.20 and 2,649.60 is: 3,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.08 : 5,711.20 = 2,649.60 : x
  2. Step 2: Convert to fraction form
    3,806.08/5,711.20 = 2,649.60/x
  3. Step 3: Cross multiply
    3,806.08x = 5,711.20 × 2,649.60
  4. Step 4: Simplify right side
    3,806.08x = 15,132,395.52
  5. Step 5: Solve for x
    x = 15,132,395.52/3,806.08
  6. Step 6: Final answer
    x = 3,975.85

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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.