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Finding the Fourth Proportional to 3,713.39, 5,123.86 and 2,200.26

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Solution

The fourth proportional to 3,713.39, 5,123.86 and 2,200.26 is: 3,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.39 : 5,123.86 = 2,200.26 : x
  2. Step 2: Convert to fraction form
    3,713.39/5,123.86 = 2,200.26/x
  3. Step 3: Cross multiply
    3,713.39x = 5,123.86 × 2,200.26
  4. Step 4: Simplify right side
    3,713.39x = 11,273,837.92
  5. Step 5: Solve for x
    x = 11,273,837.92/3,713.39
  6. Step 6: Final answer
    x = 3,035.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.