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Finding the Fourth Proportional to 3,618.41, 5,425.77 and 1,766.75

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Solution

The fourth proportional to 3,618.41, 5,425.77 and 1,766.75 is: 2,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.41 : 5,425.77 = 1,766.75 : x
  2. Step 2: Convert to fraction form
    3,618.41/5,425.77 = 1,766.75/x
  3. Step 3: Cross multiply
    3,618.41x = 5,425.77 × 1,766.75
  4. Step 4: Simplify right side
    3,618.41x = 9,585,952.02
  5. Step 5: Solve for x
    x = 9,585,952.02/3,618.41
  6. Step 6: Final answer
    x = 2,649.22

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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.