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Finding the Fourth Proportional to 8,392.91, 12,589.65 and 2,549.50

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Solution

The fourth proportional to 8,392.91, 12,589.65 and 2,549.50 is: 3,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.91 : 12,589.65 = 2,549.50 : x
  2. Step 2: Convert to fraction form
    8,392.91/12,589.65 = 2,549.50/x
  3. Step 3: Cross multiply
    8,392.91x = 12,589.65 × 2,549.50
  4. Step 4: Simplify right side
    8,392.91x = 32,097,312.68
  5. Step 5: Solve for x
    x = 32,097,312.68/8,392.91
  6. Step 6: Final answer
    x = 3,824.34

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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.