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Finding the Fourth Proportional to 8,578.28, 12,861.61 and 2,954.50

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Solution

The fourth proportional to 8,578.28, 12,861.61 and 2,954.50 is: 4,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.28 : 12,861.61 = 2,954.50 : x
  2. Step 2: Convert to fraction form
    8,578.28/12,861.61 = 2,954.50/x
  3. Step 3: Cross multiply
    8,578.28x = 12,861.61 × 2,954.50
  4. Step 4: Simplify right side
    8,578.28x = 37,999,631.69
  5. Step 5: Solve for x
    x = 37,999,631.69/8,578.28
  6. Step 6: Final answer
    x = 4,429.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.