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Finding the Fourth Proportional to 5,935.40, 8,193.38 and 3,698.39

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Solution

The fourth proportional to 5,935.40, 8,193.38 and 3,698.39 is: 5,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.40 : 8,193.38 = 3,698.39 : x
  2. Step 2: Convert to fraction form
    5,935.40/8,193.38 = 3,698.39/x
  3. Step 3: Cross multiply
    5,935.40x = 8,193.38 × 3,698.39
  4. Step 4: Simplify right side
    5,935.40x = 30,302,279.84
  5. Step 5: Solve for x
    x = 30,302,279.84/5,935.40
  6. Step 6: Final answer
    x = 5,105.34

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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.