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Finding the Fourth Proportional to 3,484.76, 5,201.83 and 3,227.80

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Solution

The fourth proportional to 3,484.76, 5,201.83 and 3,227.80 is: 4,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.76 : 5,201.83 = 3,227.80 : x
  2. Step 2: Convert to fraction form
    3,484.76/5,201.83 = 3,227.80/x
  3. Step 3: Cross multiply
    3,484.76x = 5,201.83 × 3,227.80
  4. Step 4: Simplify right side
    3,484.76x = 16,790,466.87
  5. Step 5: Solve for x
    x = 16,790,466.87/3,484.76
  6. Step 6: Final answer
    x = 4,818.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.