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Finding the Fourth Proportional to 3,471.82, 5,201.91 and 3,336.94

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Solution

The fourth proportional to 3,471.82, 5,201.91 and 3,336.94 is: 4,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.82 : 5,201.91 = 3,336.94 : x
  2. Step 2: Convert to fraction form
    3,471.82/5,201.91 = 3,336.94/x
  3. Step 3: Cross multiply
    3,471.82x = 5,201.91 × 3,336.94
  4. Step 4: Simplify right side
    3,471.82x = 17,358,461.56
  5. Step 5: Solve for x
    x = 17,358,461.56/3,471.82
  6. Step 6: Final answer
    x = 4,999.82

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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.