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Finding the Fourth Proportional to 3,766.22, 5,196.84 and 2,087.63

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Solution

The fourth proportional to 3,766.22, 5,196.84 and 2,087.63 is: 2,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.22 : 5,196.84 = 2,087.63 : x
  2. Step 2: Convert to fraction form
    3,766.22/5,196.84 = 2,087.63/x
  3. Step 3: Cross multiply
    3,766.22x = 5,196.84 × 2,087.63
  4. Step 4: Simplify right side
    3,766.22x = 10,849,093.89
  5. Step 5: Solve for x
    x = 10,849,093.89/3,766.22
  6. Step 6: Final answer
    x = 2,880.63

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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.