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Finding the Fourth Proportional to 8,504.92, 12,758.49 and 2,958.68

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Solution

The fourth proportional to 8,504.92, 12,758.49 and 2,958.68 is: 4,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.92 : 12,758.49 = 2,958.68 : x
  2. Step 2: Convert to fraction form
    8,504.92/12,758.49 = 2,958.68/x
  3. Step 3: Cross multiply
    8,504.92x = 12,758.49 × 2,958.68
  4. Step 4: Simplify right side
    8,504.92x = 37,748,289.19
  5. Step 5: Solve for x
    x = 37,748,289.19/8,504.92
  6. Step 6: Final answer
    x = 4,438.41

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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.