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Finding the Fourth Proportional to 5,489.79, 8,233.21 and 1,540.82

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Solution

The fourth proportional to 5,489.79, 8,233.21 and 1,540.82 is: 2,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.79 : 8,233.21 = 1,540.82 : x
  2. Step 2: Convert to fraction form
    5,489.79/8,233.21 = 1,540.82/x
  3. Step 3: Cross multiply
    5,489.79x = 8,233.21 × 1,540.82
  4. Step 4: Simplify right side
    5,489.79x = 12,685,894.63
  5. Step 5: Solve for x
    x = 12,685,894.63/5,489.79
  6. Step 6: Final answer
    x = 2,310.82

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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.