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Finding the Fourth Proportional to 3,423.52, 5,135.27 and 826.45

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Solution

The fourth proportional to 3,423.52, 5,135.27 and 826.45 is: 1,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.52 : 5,135.27 = 826.45 : x
  2. Step 2: Convert to fraction form
    3,423.52/5,135.27 = 826.45/x
  3. Step 3: Cross multiply
    3,423.52x = 5,135.27 × 826.45
  4. Step 4: Simplify right side
    3,423.52x = 4,244,062.78
  5. Step 5: Solve for x
    x = 4,244,062.78/3,423.52
  6. Step 6: Final answer
    x = 1,239.68

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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.