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Finding the Fourth Proportional to 3,423.50, 5,135.24 and 826.44

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Solution

The fourth proportional to 3,423.50, 5,135.24 and 826.44 is: 1,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.50 : 5,135.24 = 826.44 : x
  2. Step 2: Convert to fraction form
    3,423.50/5,135.24 = 826.44/x
  3. Step 3: Cross multiply
    3,423.50x = 5,135.24 × 826.44
  4. Step 4: Simplify right side
    3,423.50x = 4,243,969.81
  5. Step 5: Solve for x
    x = 4,243,969.81/3,423.50
  6. Step 6: Final answer
    x = 1,239.66

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1.5x scale

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.