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Finding the Fourth Proportional to 4,584.94, 6,863.94 and 4,147.20

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Solution

The fourth proportional to 4,584.94, 6,863.94 and 4,147.20 is: 6,208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.94 : 6,863.94 = 4,147.20 : x
  2. Step 2: Convert to fraction form
    4,584.94/6,863.94 = 4,147.20/x
  3. Step 3: Cross multiply
    4,584.94x = 6,863.94 × 4,147.20
  4. Step 4: Simplify right side
    4,584.94x = 28,466,131.97
  5. Step 5: Solve for x
    x = 28,466,131.97/4,584.94
  6. Step 6: Final answer
    x = 6,208.62

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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.