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Finding the Fourth Proportional to 6,739.88, 9,300.83 and 3,905.43

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Solution

The fourth proportional to 6,739.88, 9,300.83 and 3,905.43 is: 5,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.88 : 9,300.83 = 3,905.43 : x
  2. Step 2: Convert to fraction form
    6,739.88/9,300.83 = 3,905.43/x
  3. Step 3: Cross multiply
    6,739.88x = 9,300.83 × 3,905.43
  4. Step 4: Simplify right side
    6,739.88x = 36,323,720.98
  5. Step 5: Solve for x
    x = 36,323,720.98/6,739.88
  6. Step 6: Final answer
    x = 5,389.38

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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.