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Finding the Fourth Proportional to 3,091.92, 4,615.40 and 2,863.50

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Solution

The fourth proportional to 3,091.92, 4,615.40 and 2,863.50 is: 4,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.92 : 4,615.40 = 2,863.50 : x
  2. Step 2: Convert to fraction form
    3,091.92/4,615.40 = 2,863.50/x
  3. Step 3: Cross multiply
    3,091.92x = 4,615.40 × 2,863.50
  4. Step 4: Simplify right side
    3,091.92x = 13,216,183.58
  5. Step 5: Solve for x
    x = 13,216,183.58/3,091.92
  6. Step 6: Final answer
    x = 4,274.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.