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Finding the Fourth Proportional to 4,087.84, 6,149.04 and 3,517.60

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Solution

The fourth proportional to 4,087.84, 6,149.04 and 3,517.60 is: 5,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087.84 : 6,149.04 = 3,517.60 : x
  2. Step 2: Convert to fraction form
    4,087.84/6,149.04 = 3,517.60/x
  3. Step 3: Cross multiply
    4,087.84x = 6,149.04 × 3,517.60
  4. Step 4: Simplify right side
    4,087.84x = 21,629,863.10
  5. Step 5: Solve for x
    x = 21,629,863.10/4,087.84
  6. Step 6: Final answer
    x = 5,291.27

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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.