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Finding the Fourth Proportional to 6,393.49, 8,822.39 and 3,740.37

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Solution

The fourth proportional to 6,393.49, 8,822.39 and 3,740.37 is: 5,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.49 : 8,822.39 = 3,740.37 : x
  2. Step 2: Convert to fraction form
    6,393.49/8,822.39 = 3,740.37/x
  3. Step 3: Cross multiply
    6,393.49x = 8,822.39 × 3,740.37
  4. Step 4: Simplify right side
    6,393.49x = 32,998,984.18
  5. Step 5: Solve for x
    x = 32,998,984.18/6,393.49
  6. Step 6: Final answer
    x = 5,161.34

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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.