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Finding the Fourth Proportional to 4,078.68, 5,630.22 and 3,084.18

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Solution

The fourth proportional to 4,078.68, 5,630.22 and 3,084.18 is: 4,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.68 : 5,630.22 = 3,084.18 : x
  2. Step 2: Convert to fraction form
    4,078.68/5,630.22 = 3,084.18/x
  3. Step 3: Cross multiply
    4,078.68x = 5,630.22 × 3,084.18
  4. Step 4: Simplify right side
    4,078.68x = 17,364,611.92
  5. Step 5: Solve for x
    x = 17,364,611.92/4,078.68
  6. Step 6: Final answer
    x = 4,257.41

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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.